Operator-valued measures and integrals for cone-valued functions:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2009
|
| Series: | Lecture notes in mathematics
1964 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 345 - 352 |
| Physical Description: | X, 356 S. |
| ISBN: | 9783540875642 9783540875659 |
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MARC
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| 100 | 1 | |a Roth, Walter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Operator-valued measures and integrals for cone-valued functions |c Walter Roth |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2009 | |
| 300 | |a X, 356 S. | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1964 | |
| 500 | |a Literaturverz. S. 345 - 352 | ||
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Record in the Search Index
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| adam_text | VII CONTENTS INTRODUCTION 1 I LOCALLY CONVEX CONES 9 1. LOCALLY CONVEX
CONES 10 LOCALLY CONVEX CONES VIA CONVEX QUASIUNIFORM STRUCTURES .. 13
2. CONTINUOUS LINEAR OPERATORS AND FUNCTIONALS 17 EMBEDDINGS 20 3. WEAK
LOCAL AND GLOBAL PREORDERS 23 4. BOUNDEDNESS AND THE RELATIVE TOPOLOGIES
26 THE WEAK TOPOLOGY OR(V, V*) 31 BOUNDEDNESS COMPONENTS 32
CONNECTEDNESS 41 LOCALLY CONVEX CONES WITH UNIFORM BOUNDEDNESS
COMPONENTS 42 BOUNDED SUBSETS 42 CLOSED CONVEX SETS 44 5. LOCALLY CONVEX
LATTICE CONES 56 LOCALLY CONVEX LATTICE CONES 57 LOCALLY CONVEX COMPLETE
LATTICE CONES 58 ZERO COMPONENTS 62 ORDER CONVERGENCE 69 SERIES 74 ORDER
CONTINUOUS LINEAR OPERATORS AND FUNCTIONALS 77 LATTICE HOMOMORPHISMS 77
FUNCTIONALS SUPPORTING THE SEPARATION PROPERTY 79 ALMOST ORDER
CONVERGENT NETS 88 ORDER TOPOLOGY 91 WEAK ORDER CONVERGENCE 93 EXTENSION
OF LINEAR OPERATORS 96 THE STANDARD LATTICE COMPLETION OF A LOCALLY
CONVEX CONE . 97 SIMPLIFIED STANDARD LATTICE COMPLETION 104 6.
QUASI-FULL LOCALLY CONVEX CONES 107 QUASI-FULL LOCALLY CONVEX CONES 107
THE STANDARD FULL EXTENSION OF A QUASI-FULL CONE 109 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/992310199 DIGITALISIERT DURCH VIII
CONTENTS 7. CONES OF LINEAR OPERATORS 111 CONES OF LINEAR FUNCTIONALS.
THE SECOND DUAL 114 8. NOTES AND REMARKS 116 II MEASURES AND INTEGRAIS.
THE GENERAL THEORY 119 1. MEASURABLE CONE-VALUED FUNCTIONS 119 WEAK
TR-RINGS 120 MEASURABLE FUNCTIONS 120 2. INDUCTIVE LIMIT NEIGHBORHOODS
FOR CONE-VALUED FUNCTIONS ... 127 INFINITY AS A NEIGHBORHOOD 127
INDUCTIVE LIMIT NEIGHBORHOODS 127 THE CONE T^{X,V) 128 3.
OPERATOR-VALUED MEASURES 131 THE MODULUS OF A MEASURE 132 BOUNDED
MEASURES 134 EXTENSION OF A MEASURE 136 COMPOSITION OF MEASURES AND
CONTINUOUS LINEAR OPERATORS .. 137 STRONG ADDITIVITY 138 WEAK
COMPACTNESS 141 4. INTEGRAIS FOR CONE-VALUED FUNCTIONS 141 INTEGRAIS FOR
P-VALUED STEP FUNCTIONS 143 INTEGRAIS FOR FUNCTIONS IN T*{X, V) 147
SETS OF MEASURE ZERO AND PROPERTIES HOLDING ALMOST EVERYWHERE 149
INTEGRABILITY OVER A SET E IH 150 INTEGRABILITY OVER A SET F * 2T K
150 5. THE GENERAL CONVERGENCE THEOREMS 159 FAMILIES OF MEASURES AND
PROPERTIES HOLDING ALMOST EVERYWHERE 159 EQUIBOUNDED FAMILIES OF
MEASURES 159 INTEGRABILITY WITH RESPECT TO EQUIBOUNDED FAMILIES OF
MEASURES 159 TH CONTENTS IX EXTENDED REAL-VALUED FUNCTIONS AND
POSITIVE-VALUED MEASURES 209 REAL- OR COMPLEX-VALUED FUNCTIONS AND
MEASURES 209 THE CASE THAT Q IS THE STANDARD LATTICE COMPLETION OF SOME
SUBCONE Q O 211 COMPACT AND WEAKLY COMPACT MEASURES 214 THE CASE THAT ?
ISA LOCALLY CONVEX VECTOR SPACE 216 ALGEBRA HOMOMORPHISMS 220 LATTICE
HOMOMORPHISMS 224 CONE-VALUED FUNCTIONS AND POSITIVE REAL-VALUED
MEASURES .. 228 VECTOR-VALUED FUNCTIONS AND REAL- OR COMPLEX-VALUED
MEASURES 229 OPERATOR-VALUED FUNCTIONS AND OPERATOR-VALUED MEASURES ..
231 POSITIVE, REAL OR COMPLEX-VALUED FUNCTIONS AND OPERATOR-VALUED
MEASURES 234 OPERATOR-VALUED FUNCTIONS AND CONE-VALUED MEASURES 238
POSITIVE, REAL OR COMPLEX-VALUED FUNCTIONS AND CONE- OR VECTOR-VALUED
MEASURES 239 POSITIVE LINEAR OPERATORS ON CONES OF R-VALUED FUNCTIONS ..
242 BOUNDED LINEAR OPERATORS ON SPACES OF REAL- OR COMPLEX-VALUED
FUNCTIONS 244 7. EXTENDED INTEGRABILITY 245 8. NOTES AND REMARKS 246 III
MEASURES ON LOCALLY COMPACT SPACES 249 1. RELATIVELY CONTINUOUS
CONE-VALUED FUNCTIONS 249 ELEMENTARY FUNCTIONS 256 2. CONE-VALUED
FUNCTIONS ON LOCALLY COMPACT SPACES 257 INDUCTIVE LIMIT TOPOLOGIES 257
FUNCTIONS THAT VANISH AT INFINITY 258 THE CONES (X,P) AN X CONTENTS THE
CASE V = K 330 THE CASE V * R + 330 THE CASE Q = 1 330 SEQUENCE CONES
331 THE CONVERGENCE THEOREMS 331 THE CASE THAT Q IS THE STANDARD LATTICE
COMPLETION OF SOME OPERATOR CONE 332 THE SPECTRAL THEOREM 338 7. NOTES
AND REMARKS 338 LIST OF SYMBOLS 341 REFERENCES 345 INDEX 353
|
| any_adam_object | 1 |
| author | Roth, Walter |
| author_facet | Roth, Walter |
| author_role | aut |
| author_sort | Roth, Walter |
| author_variant | w r wr |
| building | Verbundindex |
| bvnumber | BV035335610 |
| classification_rvk | SI 850 |
| classification_tum | MAT 542f MAT 285f MAT 479f |
| ctrlnum | (OCoLC)248993477 (DE-599)DNB992310199 |
| dewey-full | 515.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.42 |
| dewey-search | 515.42 |
| dewey-sort | 3515.42 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035335610 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:31:33Z |
| institution | BVB |
| isbn | 9783540875642 9783540875659 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017139982 |
| oclc_num | 248993477 |
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| owner | DE-824 DE-91G DE-BY-TUM DE-83 DE-11 DE-188 |
| owner_facet | DE-824 DE-91G DE-BY-TUM DE-83 DE-11 DE-188 |
| physical | X, 356 S. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Roth, Walter Verfasser aut Operator-valued measures and integrals for cone-valued functions Walter Roth Berlin [u.a.] Springer 2009 X, 356 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1964 Literaturverz. S. 345 - 352 Operatorwertige Funktion - Integration <Mathematik> Functions of real variables Integrals, Generalized Integration Mathematik (DE-588)4072852-3 gnd rswk-swf Operatorwertige Funktion (DE-588)4352034-0 gnd rswk-swf Operatorwertige Funktion (DE-588)4352034-0 s Integration Mathematik (DE-588)4072852-3 s DE-604 Lecture notes in mathematics 1964 (DE-604)BV000676446 1964 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017139982&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Roth, Walter Operator-valued measures and integrals for cone-valued functions Lecture notes in mathematics Operatorwertige Funktion - Integration <Mathematik> Functions of real variables Integrals, Generalized Integration Mathematik (DE-588)4072852-3 gnd Operatorwertige Funktion (DE-588)4352034-0 gnd |
| subject_GND | (DE-588)4072852-3 (DE-588)4352034-0 |
| title | Operator-valued measures and integrals for cone-valued functions |
| title_auth | Operator-valued measures and integrals for cone-valued functions |
| title_exact_search | Operator-valued measures and integrals for cone-valued functions |
| title_full | Operator-valued measures and integrals for cone-valued functions Walter Roth |
| title_fullStr | Operator-valued measures and integrals for cone-valued functions Walter Roth |
| title_full_unstemmed | Operator-valued measures and integrals for cone-valued functions Walter Roth |
| title_short | Operator-valued measures and integrals for cone-valued functions |
| title_sort | operator valued measures and integrals for cone valued functions |
| topic | Operatorwertige Funktion - Integration <Mathematik> Functions of real variables Integrals, Generalized Integration Mathematik (DE-588)4072852-3 gnd Operatorwertige Funktion (DE-588)4352034-0 gnd |
| topic_facet | Operatorwertige Funktion - Integration <Mathematik> Functions of real variables Integrals, Generalized Integration Mathematik Operatorwertige Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017139982&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT rothwalter operatorvaluedmeasuresandintegralsforconevaluedfunctions |