Tsirelson's Space : With an Appendix by J. Baker, O. Slotterbeck and R. Aron
This monograph provides a structure theory for the increasingly important Banach space discovered by B.S. Tsirelson. The basic construction should be accessible to graduate students of functional analysis with a knowledge of the theory of Schauder bases, while topics of a more advanced nature are pr...
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| 主要な著者: | , |
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| その他の著者: | , , |
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| シリーズ: | Lecture notes in mathematics
1363 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Tsirelson's space, Peter G. Casazza, Thaddeus J. Shura, 1989, Berlin, Springer, 1 volume (VIII-204 pages), Lecture notes in mathematics, 3-540-50678-0 • Tsirelson's Space, Texte imprimé, 9783662170403 |
| LEADER | 03637nam a22003977a 4500 | ||
|---|---|---|---|
| 001 | 970029 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155183311 | ||
| 020 | |a 9783540460695 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Casazza, Peter G., |d 1945- | |
| 245 | 1 | 0 | |a Tsirelson's Space : |b With an Appendix by J. Baker, O. Slotterbeck and R. Aron |c Peter G. Casazza, Thaddeus J. Shura. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1363 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Precursors of the Tsirelson construction -- The Figiel-Johnson construction of Tsirelson's space -- Block basic sequences in Tsirelson's space -- Bounded linear operators on T and the blocking principle -- Subsequences of the unit vector basis of Tsirelson's space -- Modified Tsirelson's Space: TM -- Embedding Theorems about T and T -- Isomorphisms between subspaces of Tsirelson's space which are spanned by subsequences of -- Permutations of the unit vector basis of Tsirelson's space -- Unconditional bases for complemented subspaces of Tsirelson's space -- Variations on a Theme -- Some final comments. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This monograph provides a structure theory for the increasingly important Banach space discovered by B.S. Tsirelson. The basic construction should be accessible to graduate students of functional analysis with a knowledge of the theory of Schauder bases, while topics of a more advanced nature are presented for the specialist. Bounded linear operators are studied through the use of finite-dimensional decompositions, and complemented subspaces are studied at length. A myriad of variant constructions are presented and explored, while open questions are broached in almost every chapter. Two appendices are attached: one dealing with a computer program which computes norms of finitely-supported vectors, while the other surveys recent work on weak Hilbert spaces (where a Tsirelson-type space provides an example). | ||
| 650 | |a Banach, Espaces de | ||
| 650 | |a Analyse mathématique | ||
| 700 | 1 | |a Shura, Thaddeus J., |d 1947- |4 aut | |
| 700 | 1 | |a Baker, John, |d 1929- |4 clb | |
| 700 | 1 | |a Slotterbeck, Oberta A. |4 clb | |
| 700 | 1 | |a Aron, Richard M., |d 1944-...., |c mathématicien. |4 clb | |
| 776 | 0 | |0 020962223 |t Tsirelson's space |f Peter G. Casazza, Thaddeus J. Shura |d 1989 |c Berlin |n Springer |p 1 volume (VIII-204 pages) |s Lecture notes in mathematics |z 3-540-50678-0 | |
| 776 | 0 | |t Tsirelson's Space |b Texte imprimé |z 9783662170403 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0085267 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-5HMNB952-9 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750667575 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0085267 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754016692 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0085267 |z Accès INSA CVL | |
| 997 | |0 970029 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||