Denseness, bases and frames in Banach spaces and applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2018]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 406 Seiten |
| ISBN: | 9783110484885 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV044880228 | ||
| 003 | DE-604 | ||
| 005 | 20180421 | ||
| 007 | t | ||
| 008 | 180323s2018 |||| 00||| eng d | ||
| 016 | 7 | |a 1148965912 |2 DE-101 | |
| 020 | |a 9783110484885 |9 978-3-11-048488-5 | ||
| 035 | |a (OCoLC)1031927607 | ||
| 035 | |a (DE-599)BVBBV044880228 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-20 |a DE-19 | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 100 | 1 | |a Jeribi, Aref |e Verfasser |0 (DE-588)1075913829 |4 aut | |
| 245 | 1 | 0 | |a Denseness, bases and frames in Banach spaces and applications |c Aref Jeribi |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2018] | |
| 300 | |a XV, 406 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Banach-Raum |0 (DE-588)4004402-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-049386-3 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-049240-8 |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030274463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-030274463 | |
Datensatz im Suchindex
| _version_ | 1811207013030428672 |
|---|---|
| adam_text |
CONTENTS
PREFACE
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1
.
8.1
1.8.2
1.8.3
1.8.4
1.8.5
1.8.6
1.9
2
2.1
2.2
2.3
2.3.1
2.3.2
2.4
2.5
2.6
2.7
2.8
2.9
2.10
2.11
2.12
2.13
2.14
-----
VII
INTRODUCTION * 1
BASES AND SEMI-GROUPS * 1
DISCRETE OPERATOR AND DENSENESS OF THE GENERALIZED EIGENVECTORS *
V-CONVERGENCE OPERATORS * 3
R-HYPERCYCLIC SET OF LINEAR OPERATORS * 4
ANALYTIC OPERATORS IN BELA SZOEKEFALVI-NAGY*S SENSE * 5
BASES OF THE PERTURBED OPERATOR
T(E)
* 6
FRAMES IN HILBERT SPACES
-----
7
APPLICATIONS * 10
PERTURBATION METHOD FOR SOUND RADIATION BY A VIBRATING PLATE IN A LIGHT
FLUID * 10
THE SHAPE MEMORY ALLOYS OPERATOR * 12
HEAT EXCHANGER EQUATION WITH BOUNDARY FEEDBACK * 12
EXPANSION OF SOLUTION FOR A HYPERBOLIC SYSTEM * 13
FRAME OF A ONE-DIMENSIONAL WAVE CONTROL SYSTEM * 14
REGGEON FIELD THEORY * 15
OUTLINE OF CONTENTS * 15
LINEAR OPERATORS * 19
CLOSED AND CLOSABLE OPERATORS * 19
BASIS
-----
20
FREDHOLM OPERATORS
-----
22
BOUNDED OPERATORS * 22
UNBOUNDED OPERATORS
-----
24
FREDHOLM PERTURBATIONS * 25
COMPACT, ABOUNDED, AND A-COMPACT OPERATORS * 25
WEAKLY COMPACT OPERATORS * 26
STRICTLY SINGULAR OPERATORS * 26
CLOSABLE OPERATOR PERTURBATION * 26
ADJOINT OPERATOR
-----
27
RESOLVENT SET AND SPECTRUM * 28
GENERALIZED EIGENVECTORS * 31
OPERATORS ON HILBERT SPACES * 32
DISCRETE OPERATOR * 33
ASCENT AND DESCENT OPERATOR * 34
2.15 RIESZ OPERATORS * 35
2.16 NORM OF THE RESOLVENT * 36
2.17 CONVERGENCE OPERATORS * 37
2.17.1 CONVERGENCE SEQUENCE * 37
2.17.2 LIMIT INFERIOR AND SUPERIOR* 39
2.17.3 V-CONVERGENCE* 40
2.17.4 V-CONTINUITY * 41
2.18 NORMAL, HYPONORMAL, AND PSEUDO-INVERSE OPERATOR
2.18.1 NORMALAND HYPONORMAL OPERATOR * 43
2.18.2 PSEUDO-INVERSE OPERATOR * 43
2.19 DUNFORD-PETTIS PROPERTY * 44
2.20 JERIBI, WOLF, AND WEYL ESSENTIAL SPECTRA * 44
2.21 HYPERCYCLIC OPERATORS * 47
2.22 CLOSED SUBSPACE * 48
3 BASIC NOTATIONS AND RESULTS * 55
3.1 BESSEL SEQUENCES IN HILBERT SPACES * 55
3.2 ORTHOGONAL SEQUENCES IN HILBERT SPACES * 58
3.3 PROJECTION * 62
3.3.1 GENERALITIES * 62
3.3.2 SPECTRAL PROJECTION * 63
3.3.3 INFINITE SUM OF PROJECTIONS * 65
3.3.4 COMMUTATION OF PROJECTIONS * 66
3.4 P-SUBORDINATE OPERATOR * 68
3.5 FINITE-ORDER AND SINE-TYPE FUNCTIONS * 70
3.5.1 FINITE-ORDER FUNCTION * 70
3.5.2 A FUNCTION OF THE SINE TYPE * 71
3.6 SINGULAR VALUES * 74
3.6.1 SINGULAR VALUES OF A COMPACT OPERATOR* 74
3.6.2 NUMERICAL RANGE * 75
3.6.3 CARLEMAN CLASS
CP
* 76
3.7 FRACTIONAL OPERATORS * 77
3.8 PHRAGMSN-LINDELOEF THEOREMS* 78
3.9 FREDHOLM DETERMINANT * 79
3.10 DENSENESS OF GENERALIZED EIGENVECTORS * 80
3.11 INEQUALITIES * 81
4 BASES * 85
4.1 HAMEL BASES * 85
4.2 SCHAUDER BASIS * 85
4.3 COEFFICIENT FUNCTIONALS * 86
4.4 NATURAL PROJECTIONS ASSOCIATED WITH A BASIS * 86
4.5 A CHARACTERIZATION OF BASES * 94
4.6 BIORTHOGONAL SYSTEMS * 99
4.7 ORTHONORMAL BASES * 99
4.8 THE GRAM MATRIX * 104
4.9 HILBERT-SCHMIDT OPERATOR * 105
4.10 THE TRACE CLASS * 105
4.11 EQUIVALENT BASES * 106
4.12 RIESZ BASIS * 110
4.12.1 DEFINITION * 110
4.12.2 COMPLETENESS RESULTS * 111
4.12.3 DUAL BASIS ASSOCIATED TO A RIESZ BASIS * 113
4.12.4 CHARACTERIZATION OF RIESZ BASIS * 114
4.12.5 COLLECTION OF VECTORS NEAR A RIESZ BASIS * 118
4.12.6 SEQUENCE QUADRATICALLY CLOSE * 119
4.12.7 SUM DIRECT OF SUBSPACES * 121
4.12.8 CONCEPT OF THE ANGLE BETWEEN TWO CLOSED LINEAR SUBSPACES * 123
4.12.9 PALEY-WIENER CRITERION * 125
4.12.10 PAVLOV RESULT * 127
4.13 BASIS OF SUBSPACES * 127
4.14 UNCONDITIONAL BASES * 128
4.15 RIESZ BASIS OF FINITE-DIMENSIONAL A-INVARIANT SUBSPACES * 130
5 SEMIGROUPS * 133
5.1 C0-SEMI-GROUP * 133
5.1.1 DEFINITIONS * 133
5.1.2 HILLE-YOSIDA THEOREM * 133
5.1.3 DISSIPATIVE OPERATOR* 134
5.1.4 EIGENVALUES * 134
5.2 DIAGONALIZATION OF SEMI GROUPS * 135
5.2.1 DIAGONALIZATION OF THE SEMI GROUP
E~A
* 135
5.2.2 DIAGONALIZATION OF THE SEMI GROUP * 137
5.2.3 RIESZ BASIS FORMED BY EIGENVECTORS OF A * 140
6 DISCRETE OPERATOR AND DENSENESS OF THE GENERALIZED EIGENVECTORS * 145
6.1 HILBERT-SCHMIDT DISCRETE OPERATOR* 145
6.1.1 ELEMENTARY PROPERTIES * 145
6.1.2 DIRECT SUM
-----
147
6.1.3 LAURENT EXPANSION FOR THE RESOLVENT * 148
6.1.4 SPECTRAL THEORY OF THE INVERSE OF AN HS DISCRETE OPERATOR* 149
6.1.5 SINGULAR VALUES OF THE RESOLVENT * 152
6.2
6.2.1
6.2.2
7
7.1
7.1.1
7.1.2
7.1.3
7.1.4
7.2
7.2.1
7.2.2
7.2.3
7.2.4
7.2.5
7.2.6
7.2.7
7.2.8
7.2.9
7.2.10
8
8.1
8.2
8.3
8.4
9
9.1
9.1.1
9.1.2
9.1.3
9.2
9.3
9.4
9.5
10
10.1
DENSENESS OF THE GENERALIZED EIGENVECTORS OF AN HS DISCRETE
OPERATOR * 153
THE SUBSPACES AND FOR A FREDHOLM OPERATOR* 153
SUFFICIENT CONDITIONS
S^ = X
AND = {0} * 154
FRAMES IN HILBERT SPACES * 159
FRAME IN HILBERT SPACE * 159
FRAME * 159
FRAMES AND OPERATORS * 163
THE PROJECTION METHOD * 167
FRAME PERTURBATIONS * 170
FRAME OF SUBSPACE OR FUSION FRAME * 171
DEFINITIONS * 172
A CHARACTERIZATION OF FRAME OF SUBSPACES * 172
SYNTHESIS OPERATOR * 174
A CHARACTERIZATION OF BESSEL FUSION SEQUENCES * 175
A CHARACTERIZATION OF FUSION FRAMES * 177
OBLIQUE PROJECTIONS AND BIORTHOGONALITY * 178
A CHARACTERIZATION IN TERMS OF ORTHONORMAL FUSION BASES * 182
DUALS OF FUSION FRAMES * 183
FUSION FRAMES AND OPERATORS * 185
NON-ORTHOGONAL FUSION FRAME * 188
SUMMABILITY OF SERIES * 191
SERIES IN PRINCIPAL VECTORS * 191
JORDAN CHAIN * 191
SUMMATION OF SERIES BY ABEL*S METHOD * 192
COEFFICIENTS OF A SERIES IN PRINCIPAL VECTORS * 193
/-CONVERGENCE OPERATORS * 201
/-CONVERGENCE AND SPECTRAL PROPERTIES * 201
SEMI-FREDHOLM SEQUENCE * 201
CONVERGENCE OF THE SPECTRUM * 204
/-CONVERGENCE * 206
JERIBI, WOLF, AND WEYL ESSENTIAL SPECTRA * 208
JERIBI, WOLF, AND WEYL ESSENTIAL SPECTRA OF A SEQUENCE OF LINEAR
OPERATORS * 214
/-CONTINUITY OF WOLF AND WEYL ESSENTIAL SPECTRA * 220
2 X 2 OPERATOR MATRIX * 224
R-HYPERCYCLIC SET OF LINEAR OPERATORS * 231
R-HYPERCYCLIC SET OF A BOUNDED LINEAR OPERATOR * 231
10.1.1 PROPERTIES O FRHYP(7 )* 231
10.1.2 ESSENTIALLY QUASI-NILPOTENT OPERATORS * 232
10.1.3 OPERATORS WITH SMALL RHYP(R) * 235
10.1.4 OPERATORS WITH BIG RHYP(7) * 236
10.1.5 ALUTHGE TRANSFORMS * 237
10.1.6 OPERATOR EQUATIONS ASA = A2 AND
BAB
= B2 * 238
10.1.7 UPPER TRIANGULAR MATRICES * 239
11 ANALYTIC OPERATORS IN B6LA SZOEKEFALVI-NAGY*S SENSE * 241
11.1 INVARIANCE OF THE CLOSURE * 241
11.1.1 HYPOTHESES * 241
11.1.2 CLOSENESS * 241
11.2 EIGENVALUES AND EIGENVECTORS * 242
11.2.1 ENTIRE SERIES OF E * 243
12 BASES OF THE PERTURBED OPERATOR
T(E)
* 257
12.1 COMPLETENESS AND RIESZ BASIS OF GENERALIZED EIGENVECTORS * 257
12.2 ON A SCHAUDER BASIS IN A SEPARABLE BANACH SPACE * 257
12.3 RIESZ BASIS PROPERTY OF FAMILIES OF NON-HARMONIC EXPONENTIALS * 259
12.3.1 THE VALUE O F F IS VARIABLE * 259
12.3.2 THE VALUE OF IS FIXED * 263
12.3.3 VALUES OF ARE BOTH FIXED AND VARIABLE * 267
12.4 UNCONDITIONAL BASIS WITH PARENTHESES * 271
13 FRAME OF THE PERTURBED OPERATOR 7 (F) * 275
13.1 FRAMES OF EIGENVECTORS OF THE PERTURBED OPERATOR 7(
E
) * 275
13.1.1 FRAMES OF ANALYTIC EIGENVECTORS IN THE SENSE OF KATO * 275
13.1.2 COMBINATION OF EIGENVECTORS * 277
13.1.3 EXISTENCE OF A FIXED COMPLEX NUMBER
E
* 279
13.2 NON-ORTHOGONAL FUSION FRAMES * 280
13.2.1 ANALYTIC PROJECTION * 280
13.2.2 COMBINATION OF PROJECTIONS * 285
13.2.3 EXISTENCE OF A FIXED COMPLEX NUMBER * 287
14 PERTURBATION METHOD FOR SOUND RADIATION BY A VIBRATING PLATE IN A
LIGHT
FLUID * 289
14.1 PROBLEM OF RADIATION OF A VIBRATING STRUCTURE IN A LIGHT FLUID *
289
14.2 COMPACTNESS RESULTS * 291
14.3 SPECTRAL PROPERTIES OF THE OPERATOR 70 * 293
14.4 ON A RIESZ BASIS IN
L2(]-A,
A[) * 297
14.5 CLOSENESS OPERATORS * 297
14.6 DENSENESS AND RIESZ BASIS OF EIGENVECTORS * 299
14.7 UNCONDITIONAL BASIS WITH PARENTHESES * 299
14.8 RIESZ BASIS PROPERTY OF FAMILIES OF NON-HARMONIC EXPONENTIALS * 300
14.9 FRAMES * 301
15 APPLICATIONS TO MATHEMATICAL MODELS * 305
15.1 HEAT EXCHANGER EQUATION WITH A BOUNDARY FEEDBACK* 305
15.1.1 THE SEMI-GROUP GENERATED BY THE OPERATOR A * 306
15.1.2 EIGENVALUES OF THE OPERATOR A * 307
15.1.3 THE STABILITY OF THE SEMI GROUP GENERATED BY THE OPERATOR A * 311
15.1.4 AUXILIARY OPERATOR * 315
15.1.5 COMPLETENESS SYSTEM * 317
15.1.6 ASYMPTOTIC BEHAVIOR OF THE EIGENVALUES OF THE OPERATOR A * 319
15.2 THE SHAPE MEMORY ALLOYS OPERATOR * 321
15.2.1 ELEMENTARY RESULTS * 321
15.2.2 DENSENESS OF THE GENERALIZED EIGENVECTORS * 327
15.2.3 DIAGONALIZATION OFTHE SEMI-GROUPS
E~TC
AND
E~K1
* 327
15.3 EXPANSION OF SOLUTION FOR A HYPERBOLIC SYSTEM * 330
15.3.1 THE RESOLVENT EXPRESSION OF A * 331
15.3.2 SPECTRUM OF A * 334
15.3.3 SPECTRAL RADIUS AND ESSENTIAL SPECTRAL RADIUS * 338
15.3.4 RIESZ BASIS * 341
15.4 FRAME OF A ONE-DIMENSIONAL WAVE CONTROL SYSTEM * 345
15.4.1 ONE-DIMENSIONAL STRING EQUATION * 345
15.4.2 ADJOINT OF A
-----
347
15.4.3 SPECTRUM OFA * 348
15.4.4 NON-ORTHOGONAL FUSION FRAME * 352
16 REGGEON FIELD THEORY* 359
16.1 GRIBOV OPERATOR IN BARGMANN SPACE * 359
16.1.1 GENERAL RESULTS * 360
16.1.2 AUXILIARY RESULTS * 362
16.1.3 SPECTRAL PROPERTIES OF
H#
* 365
16.1.4 CAUCHY PROBLEM * 368
16.1.5 DENSENESS OFTHE GENERALIZED EIGENVECTORS OFTHE OPERATOR
H#
FOR A' 0
-----
370
16.2 THE CASE OF NULL TRANSVERSE DIMENSION
(N
= 1)
------
372
16.2.1 ANNIHILATION AND CREATION OPERATORS * 373
16.2.2 SUBORDINATE AND BOUNDEDNESS * 374
16.2.3 UNCONDITIONAL BASIS IN BARGMANN SPACE * 382
16.2.4 GENERALIZED DIAGONALIZATION OFTHE SEMIGROUPS
E'*"*"*'**
1
AND * 384
16.2.5 RIESZ BASIS OF FINITE-DIMENSIONAL
H#
IJ
,
^-INVARIANT SUBSPACES * 386
16.3 SCHAUDER BASIS OF GRIBOV OPERATOR IN THE BARGMANN SPACE * 387
BIBLIOGRAPHY * 393
INDEX* 403 |
| any_adam_object | 1 |
| author | Jeribi, Aref |
| author_GND | (DE-588)1075913829 |
| author_facet | Jeribi, Aref |
| author_role | aut |
| author_sort | Jeribi, Aref |
| author_variant | a j aj |
| building | Verbundindex |
| bvnumber | BV044880228 |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)1031927607 (DE-599)BVBBV044880228 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV044880228</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180421</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">180323s2018 |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1148965912</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110484885</subfield><subfield code="9">978-3-11-048488-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1031927607</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044880228</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Jeribi, Aref</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1075913829</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Denseness, bases and frames in Banach spaces and applications</subfield><subfield code="c">Aref Jeribi</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Boston</subfield><subfield code="b">De Gruyter</subfield><subfield code="c">[2018]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 406 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, PDF</subfield><subfield code="z">978-3-11-049386-3</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, EPUB</subfield><subfield code="z">978-3-11-049240-8</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030274463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030274463</subfield></datafield></record></collection> |
| id | DE-604.BV044880228 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-25T22:00:09Z |
| institution | BVB |
| isbn | 9783110484885 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030274463 |
| oclc_num | 1031927607 |
| open_access_boolean | |
| owner | DE-20 DE-19 DE-BY-UBM |
| owner_facet | DE-20 DE-19 DE-BY-UBM |
| physical | XV, 406 Seiten |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | De Gruyter |
| record_format | marc |
| spelling | Jeribi, Aref Verfasser (DE-588)1075913829 aut Denseness, bases and frames in Banach spaces and applications Aref Jeribi Berlin ; Boston De Gruyter [2018] XV, 406 Seiten txt rdacontent n rdamedia nc rdacarrier Banach-Raum (DE-588)4004402-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s 1\p DE-604 Erscheint auch als Online-Ausgabe, PDF 978-3-11-049386-3 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-049240-8 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030274463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jeribi, Aref Denseness, bases and frames in Banach spaces and applications Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4004402-6 |
| title | Denseness, bases and frames in Banach spaces and applications |
| title_auth | Denseness, bases and frames in Banach spaces and applications |
| title_exact_search | Denseness, bases and frames in Banach spaces and applications |
| title_full | Denseness, bases and frames in Banach spaces and applications Aref Jeribi |
| title_fullStr | Denseness, bases and frames in Banach spaces and applications Aref Jeribi |
| title_full_unstemmed | Denseness, bases and frames in Banach spaces and applications Aref Jeribi |
| title_short | Denseness, bases and frames in Banach spaces and applications |
| title_sort | denseness bases and frames in banach spaces and applications |
| topic | Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Banach-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030274463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jeribiaref densenessbasesandframesinbanachspacesandapplications |