Introduction to tensor products of banach spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
2010
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| Series: | Springer monographs in mathematics
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 225 S. Diagramme |
| ISBN: | 9781849968720 |
Staff View
MARC
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| 245 | 1 | 0 | |a Introduction to tensor products of banach spaces |c Raymond A. Ryan |
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Record in the Search Index
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| adam_text | Contents 1 Tensor Products........................................................................... 1.1 1.2 1.3 1.4 1.5 1.6 2 The Projective Norm ................................................................... The Dual Space of X®VY............................................................. L^^^^X and the Bochner Integral......................................... Li-spaces....................................................................................... Rademacher Techniques............................................................... Nuclear Bilinear Forms and Operators..................................... Exercises......................................................................................... 15 22 25 30 32 39 42 The Injective Tensor Product................................................... 45 The Injective Norm....................................................................... C(K) and Loo-spaces................................................................... Li(ß)®cX and the Pettis Integral............................................. The Dual Space of X®eY........................................................... Integral Operators......................................................................... Exercises......................................................................................... 45 49 51 57 62 68 The Approximation Property................................................... 71 The Approximation Property..................................................... Reflexivity of Tensor
Products................................................... Tensor Product Bases................................................................... Exercises......................................................................................... 71 82 87 91 3.1 3.2 3.3 3.4 3.5 3.6 4 4.1 4.2 4.3 4.4 5 1 1 5 7 9 10 12 The Projective Tensor Product................................................ 15 2.1 2.2 2.3 2.4 2.5 2.6 2.7 3 Tensor Products of Vector Spaces............................................... Tensor Products and Linearization............................................. Tensors as Linear Mappings or Bilinear Forms ....................... Tensor and Trace Duality............................................................. Examples and Applications......................................................... Exercises......................................................................................... The Radon-Nikodým Property................................................ 93 5.1 5.2 5.3 Vector Measures and the Radon-Nikodým Property............... 93 Tensor Products and Vector Measures......................................... 103 Operators on C{K} Spaces ........................................................... 108
xiv Contents 5.4 5.5 5.6 6 The Chevet-Saphar Tensor Products.......................................127 6.1 6.2 6.3 6.4 6.5 7 Operators on Li (μ) Spaces ........................................................... 114 The Principle of Local Reflexivity............................................... 122 Exercises........................................................................................... 125 Tensor Norms................................................................................... 127 The Chevet-Saphar Tensor Norms............................................... 133 p-summing Operators..................................................................... 140 Grothendieck’s Inequality............................................................... 152 Exercises........................................................................................... 157 Tensor Norms................................................................................ 159 7.1 The Dual Norm............................................................................... 159 7.2 Injective and Projective Associates............................................. 165 7.3 The Chevet-Saphar Dual Norms and p-integral Operators ... 170 7.4 The Hilbertian Tensor Norm.......................................................... 176 7.5 Exercises............................................................................................ 184 8 Operator Ideals................................................................................ 187 8.1 The Forms and Operators Associated with a Tensor Norm ...
187 8.2 Operator Ideals................................................................................ 194 8.3 Exercises............................................... 198 A Suggestions for Further Reading................................................ 201 В Summability in Banach Spaces .................................................. 205 C Spaces of Measures........................................................................ 211 References............................................................................................... 219 Index........................................................................................................ 223
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| indexdate | 2024-07-10T00:34:32Z |
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| isbn | 9781849968720 |
| language | English |
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| physical | XIV, 225 S. Diagramme |
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| spelling | Ryan, Ray 1965- Verfasser (DE-588)136727549 aut Introduction to tensor products of banach spaces Raymond A. Ryan London [u.a.] Springer 2010 XIV, 225 S. Diagramme txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Banach-Raum - Tensorprodukt Banach spaces Tensor products Banach-Raum (DE-588)4004402-6 gnd rswk-swf Tensorprodukt (DE-588)4059478-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s Tensorprodukt (DE-588)4059478-6 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025859491&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ryan, Ray 1965- Introduction to tensor products of banach spaces Banach-Raum - Tensorprodukt Banach spaces Tensor products Banach-Raum (DE-588)4004402-6 gnd Tensorprodukt (DE-588)4059478-6 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4059478-6 |
| title | Introduction to tensor products of banach spaces |
| title_auth | Introduction to tensor products of banach spaces |
| title_exact_search | Introduction to tensor products of banach spaces |
| title_full | Introduction to tensor products of banach spaces Raymond A. Ryan |
| title_fullStr | Introduction to tensor products of banach spaces Raymond A. Ryan |
| title_full_unstemmed | Introduction to tensor products of banach spaces Raymond A. Ryan |
| title_short | Introduction to tensor products of banach spaces |
| title_sort | introduction to tensor products of banach spaces |
| topic | Banach-Raum - Tensorprodukt Banach spaces Tensor products Banach-Raum (DE-588)4004402-6 gnd Tensorprodukt (DE-588)4059478-6 gnd |
| topic_facet | Banach-Raum - Tensorprodukt Banach spaces Tensor products Banach-Raum Tensorprodukt |
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