Functional analysis with applications:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin/Boston
De Gruyter
[2019]
|
| Schriftenreihe: | De Gruyter graduate
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | IX, 393 Seiten 24 cm, 774 g |
| ISBN: | 9783110657692 3110657694 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV046110694 | ||
| 003 | DE-604 | ||
| 005 | 20210922 | ||
| 007 | t| | ||
| 008 | 190821s2019 gw |||| 00||| eng d | ||
| 015 | |a 19,N11 |2 dnb | ||
| 015 | |a 19,A29 |2 dnb | ||
| 016 | 7 | |a 1179950631 |2 DE-101 | |
| 020 | |a 9783110657692 |c Broschur : EUR 68.95 (DE) (freier Preis), EUR 68.95 (AT) (freier Preis) |9 978-3-11-065769-2 | ||
| 020 | |a 3110657694 |9 3-11-065769-4 | ||
| 035 | |a (OCoLC)1121487265 | ||
| 035 | |a (DE-599)DNB1179950631 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-703 |a DE-634 |a DE-573 |a DE-11 | ||
| 082 | 0 | |a 515.7 |2 23/ger | |
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Georgiev, Svetlin |d 1974- |e Verfasser |0 (DE-588)1132738601 |4 aut | |
| 245 | 1 | 0 | |a Functional analysis with applications |c Svetlin G. Georgiev, Khaled Zennir |
| 264 | 1 | |a Berlin/Boston |b De Gruyter |c [2019] | |
| 264 | 4 | |c © 2019 | |
| 300 | |a IX, 393 Seiten |c 24 cm, 774 g | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a De Gruyter graduate | |
| 650 | 0 | 7 | |a Funktionalanalysis |0 (DE-588)4018916-8 |2 gnd |9 rswk-swf |
| 653 | |a Fachhochschul-/Hochschulausbildung | ||
| 653 | |a Fachhochschul-/Hochschulausbildung | ||
| 653 | |a Banach-Raum | ||
| 653 | |a Fixpunktsatz | ||
| 653 | |a Funktionalanalysis | ||
| 653 | |a Hilbert-Raum | ||
| 653 | |a Metrischer Raum | ||
| 689 | 0 | 0 | |a Funktionalanalysis |0 (DE-588)4018916-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Zennir, Khaled |d 1982- |e Verfasser |0 (DE-588)1190831848 |4 aut | |
| 710 | 2 | |a Walter de Gruyter GmbH & Co. KG |0 (DE-588)10095502-2 |4 pbl | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-065804-0 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-065772-2 |
| 856 | 4 | 2 | |m B:DE-101 |q application/pdf |u http://d-nb.info/1179950631/04 |3 Inhaltsverzeichnis |
| 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=031491295&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-031491295 | |
Datensatz im Suchindex
| _version_ | 1822882699609636864 |
|---|---|
| adam_text |
CONTENTS
PREFACE
*
V
1
VECTOR,
METRIC,
NORMED
AND
BANACH
SPACES
*
1
1.1
VECTOR
SPACES
*
1
1.2
METRIC
SPACES
*
24
1.3 USEFUL
INEQUALITIES
*
29
1.4
COMPLETE
SPACES
*
32
1.5
NORMED
SPACES
*
39
1.6
BANACH
SPACES
*
53
1.7
INNER
PRODUCT
SPACES
*
54
1.8
HILBERT
SPACES
*
62
1.9
SEPARABLE
SPACES
*
69
1.10
ADVANCED
PRACTICAL
PROBLEMS
*
70
2
LEBESGUE
INTEGRATION
*
73
2.1
LEBESGUE
OUTER
MEASURE.
MEASURABLE
SETS
*
73
2.2
THE
LEBESGUE
MEASURE.
THE
BOREL-CANTELLI
LEMMA
*
95
2.3
NONMEASURABLE
SETS
*
99
2.4
THE
CANTOR
SET.
THE
CANTOR-LEBESGUE
FUNCTION
*
102
2.5
LEBESGUE
MEASURABLE
FUNCTIONS
*
107
2.6
THE
RIEMANN
INTEGRAL
*
124
2.7
LEBESGUE
INTEGRATION
*
125
2.7.1
THE
LEBESGUE
INTEGRAL
OF
A
BOUNDED
MEASURABLE
FUNCTION
OVER
A
SET
OF
FINITE
MEASURE
*
125
2.7.2
THE
LEBESGUE
INTEGRAL
OF
A
MEASURABLE
NONNEGATIVE
FUNCTION
*
135
2.7.3
THE
GENERAL
LEBESGUE
INTEGRAL
*
143
2.8
CONTINUITY
AND
DIFFERENTIABILITY
OF
MONOTONE
FUNCTIONS.
LEBESGUE
*
S
THEOREM
*
158
2.9
GENERAL
MEASURE
SPACES
*
168
2.10
GENERAL
MEASURABLE
FUNCTIONS
*
169
2.11
INTEGRATION
OVER
GENERAL
MEASURE
SPACES
*
171
2.12
ADVANCED
PRACTICAL
PROBLEMS
*
176
3
THE
L
P
SPACES
*
179
3.1
DEFINITION
*
179
3.2
THE
INEQUALITIES
OF
HBLDER
AND
MINKOWSKI
*
180
3.3
SOME
PROPERTIES
*
182
3.4
THE
RIESZ-FISCHER
THEOREM
*
183
3.5
SEPARABILITY
*
189
VIII
*
CONTENTS
3.6
3.7
3.8
DUALITY
*
190
GENERAL
V
SPACES
*
204
ADVANCED
PRACTICAL
PROBLEMS
*
207
4
4.1
4.2
4.3
4.4
LINEAR
OPERATORS
*
209
DEFINITION
*
209
LINEAR
OPERATORS
IN
NORMED
VECTOR
SPACES
*
211
INVERSE
OPERATORS
*
229
ADVANCED
PRACTICAL
PROBLEMS
*
233
5
5.1
5.2
5.3
5.4
5.5
LINEAR
FUNCTIONALS
*
235
THE
HAHN-BANACH
EXTENSION
THEOREM
*
235
THE
GENERAL
FORM
OF
THE
LINEAR
FUNCTIONALS
ON
E*
IN
THE
CASE
F
=
R
*
241
THE
GENERAL
FORM
OF
THE
LINEAR
FUNCTIONALS
ON
HILBERT
SPACES
*
242
WEAK
CONVERGENCE
OF
SEQUENCES
OF
FUNCTIONALS
*
244
ADVANCED
PRACTICAL
PROBLEMS
*
244
6
RELATIVELY
COMPACT
SETS
IN
METRIC
AND
NORMED
SPACES.
COMPACT
OPERATORS
*
247
6.1
6.2
6.3
6.4
6.5
6.6
DEFINITIONS.
GENERAL
THEOREMS
*
247
CRITERIA
FOR
COMPACTNESS
OF
SETS
IN
METRIC
SPACES
*
250
A
CRITERIA
FOR
RELATIVE
COMPACTNESS
IN
THE
SPACE
C([A,
6])
*
254
A
CRITERIA
FOR
COMPACTNESS
IN
THE
SPACE
L
P
([A,B]),P
1
*
257
COMPACT
OPERATORS
*
260
ADVANCED
PRACTICAL
PROBLEMS
*
263
7
7.1
7.2
7.3
SELF-ADJOINT
OPERATORS
IN
HILBERT
SPACES
*
265
ADJOINT
OPERATORS.
SELF-ADJOINT
OPERATORS
*
265
UNITARY
OPERATORS
*
266
PROJECTION
OPERATORS
*
267
8
8.1
8.2
8.3
8.4
8.5
THE
METHOD
OF
THE
SMALL
PARAMETER
*
273
ABSTRACT
FUNCTIONS
OF
A
REAL
VARIABLE
*
273
POWER
SERIES
*
280
ANALYTIC
ABSTRACT
FUNCTIONS
AND
TAYLOR
*
S
SERIES
*
282
THE
METHOD
OF
THE
SMALLER
PARAMETER
*
286
AN
APPLICATION
TO
INTEGRAL
EQUATIONS
*
289
9
9.1
9.2
THE
PARAMETER
CONTINUATION
METHOD
*
299
STATEMENT
OF
THE
BASIC
RESULT
*
299
AN
APPLICATION
TO
A
BOUNDARY
VALUE
PROBLEM
FOR
A
CLASS
OF
SECOND
ORDER
ORDINARY
DIFFERENTIAL
EQUATIONS
*
300
CONTENTS
*
IX
BIBLIOGRAPHY
*
389
10
10.1
10.2
10.3
10.4
10.5
10.6
10.7
FIXED-POINT
THEOREMS
AND
APPLICATIONS
*
309
THE
BANACH
FIXED-POINT
THEOREM
*
309
THE
BRINCIARI
FIXED-POINT
THEOREM
*
311
THE
BROUWER
FIXED-POINT
THEOREM
*
318
THE
SCHAUDER
FIXED-POINT
THEOREM
*
320
NON-COMPACT
TYPE
KRASNOSEL
*
SKII
FIXED-POINT
THEOREMS
*
322
FIXED-POINT
RESULTS
FOR
THE
SUM
T
+
S
*
325
FIXED-POINT
RESULTS
TO
ONE
PARAMETER
OPERATOR
EQUATIONS
AND
EIGENVALUES
PROBLEMS
*
338
10.8
10.9
10.10
10.11
APPLICATION
TO
PERTURBED
VOLTERRA
INTEGRAL
EQUATION
*
339
APPLICATION
TO
TRANSPORT
EQUATIONS
*
344
APPLICATION
TO
A
CLASS
OF
DIFFERENCE
EQUATIONS
*
348
APPLICATION
TO
A
DARBOUX
PROBLEM
*
360
A
A.L
A.2
A.3
A.4
SETS
AND
MAPPINGS
*
375
UNION
AND
INTERSECTION
OF
SETS
*
375
MAPPINGS
BETWEEN
SETS
*
376
COUNTABLE
AND
UNCOUNTABLE
SETS
*
379
CONTINUOUS
REAL-VALUED
FUNCTIONS
ON
A
REAL
VARIABLE
*
383
B
FUNCTIONS
OF
BOUNDED
VARIATION
*
385
INDEX
*
391 |
| any_adam_object | 1 |
| author | Georgiev, Svetlin 1974- Zennir, Khaled 1982- |
| author_GND | (DE-588)1132738601 (DE-588)1190831848 |
| author_facet | Georgiev, Svetlin 1974- Zennir, Khaled 1982- |
| author_role | aut aut |
| author_sort | Georgiev, Svetlin 1974- |
| author_variant | s g sg k z kz |
| building | Verbundindex |
| bvnumber | BV046110694 |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)1121487265 (DE-599)DNB1179950631 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV046110694 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-01T19:00:11Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110657692 3110657694 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031491295 |
| oclc_num | 1121487265 |
| open_access_boolean | |
| owner | DE-703 DE-634 DE-573 DE-11 |
| owner_facet | DE-703 DE-634 DE-573 DE-11 |
| physical | IX, 393 Seiten 24 cm, 774 g |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | De Gruyter graduate |
| spelling | Georgiev, Svetlin 1974- Verfasser (DE-588)1132738601 aut Functional analysis with applications Svetlin G. Georgiev, Khaled Zennir Berlin/Boston De Gruyter [2019] © 2019 IX, 393 Seiten 24 cm, 774 g txt rdacontent n rdamedia nc rdacarrier De Gruyter graduate Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Fachhochschul-/Hochschulausbildung Banach-Raum Fixpunktsatz Funktionalanalysis Hilbert-Raum Metrischer Raum Funktionalanalysis (DE-588)4018916-8 s DE-604 Zennir, Khaled 1982- Verfasser (DE-588)1190831848 aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, EPUB 978-3-11-065804-0 Erscheint auch als Online-Ausgabe, PDF 978-3-11-065772-2 B:DE-101 application/pdf http://d-nb.info/1179950631/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031491295&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Georgiev, Svetlin 1974- Zennir, Khaled 1982- Functional analysis with applications Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4018916-8 |
| title | Functional analysis with applications |
| title_auth | Functional analysis with applications |
| title_exact_search | Functional analysis with applications |
| title_full | Functional analysis with applications Svetlin G. Georgiev, Khaled Zennir |
| title_fullStr | Functional analysis with applications Svetlin G. Georgiev, Khaled Zennir |
| title_full_unstemmed | Functional analysis with applications Svetlin G. Georgiev, Khaled Zennir |
| title_short | Functional analysis with applications |
| title_sort | functional analysis with applications |
| topic | Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Funktionalanalysis |
| url | http://d-nb.info/1179950631/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031491295&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT georgievsvetlin functionalanalysiswithapplications AT zennirkhaled functionalanalysiswithapplications AT walterdegruytergmbhcokg functionalanalysiswithapplications |
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