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Ramsey Methods in Analysis
This book introduces graduate students and resarchers to the study of the geometry of Banach spaces using combinatorial methods. The combinatorial, and in particular the Ramsey-theoretic, approach to Banach space theory is not new, it can be traced back as early as the 1970s. Its full appreciation,...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2005.
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| Edición: | 1st ed. 2005. |
| Colección: | Advanced Courses in Mathematics - CRM Barcelona,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Saturated and Conditional Structures in Banach Spaces
- Tsirelson and Mixed Tsirelson Spaces
- Tree Complete Extensions of a Ground Norm
- Hereditarily Indecomposable Extensions with a Schauder Basis
- The Space of the Operators for Hereditarily Indecomposable Banach Spaces
- Examples of Hereditarily Indecomposable Extensions
- The Space $$\mathfrak{X}\omega _1 $$
- The Finite Representability of $$J_{T_0 }$$ and the Diagonal Space $$D \left( {\mathfrak{X}_\gamma } \right)$$
- The Spaces of Operators $$L\left( {\mathfrak{X}_\gamma } \right)$$ , $$L\left( {X,\mathfrak{X}\omega _1 } \right)$$
- Transfinite Schauder Basic Sequences
- The Proof of the Finite Representability of $$J_{T_0 }$$
- High-Dimensional Ramsey Theory and Banach Space Geometry
- Finite-Dimensional Ramsey Theory: Finite Representability of Banach Spaces
- Ramsey Theory of Finite and Infinite Sequences
- Ramsey Theory of Finite and Infinite Block Sequences
- Approximate and Strategic Ramsey Theory of Banach Spaces.