Description

Book Synopsis
Offers details of Grothendieck's constructions and laying bare how the important classes of operators are a consequence of the abstract operations on tensor norms. This book shows how the classical Banach spaces ($C(K)$'s, Hilbert spaces, and the spaces of integrable functions) fit naturally within the mosaic that Grothendieck constructed.

Table of Contents
Basics on tensor norms The role of $C(K)$-spaces and $L^1$-spaces $\otimes$-norms related to Hilbert space The fundamental theorem and its consequences Glossary of terms The problems of the Resume The Blaschke selection principle and compact convex sets in finite dimensional Banach spaces A short introduction to Banach lattices Stonean spaces and injectivity Epilogue Bibliography Author index Index of notation Index.

The Metric Theory of Tensor Products

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    A Hardback by Joe Diestel, Jan H. Fourie, Johan Swart

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      Publisher: MP-AMM American Mathematical
      Publication Date: 7/30/2008 12:00:00 AM
      ISBN13: 9780821844403, 978-0821844403
      ISBN10: 0821844407

      Description

      Book Synopsis
      Offers details of Grothendieck's constructions and laying bare how the important classes of operators are a consequence of the abstract operations on tensor norms. This book shows how the classical Banach spaces ($C(K)$'s, Hilbert spaces, and the spaces of integrable functions) fit naturally within the mosaic that Grothendieck constructed.

      Table of Contents
      Basics on tensor norms The role of $C(K)$-spaces and $L^1$-spaces $\otimes$-norms related to Hilbert space The fundamental theorem and its consequences Glossary of terms The problems of the Resume The Blaschke selection principle and compact convex sets in finite dimensional Banach spaces A short introduction to Banach lattices Stonean spaces and injectivity Epilogue Bibliography Author index Index of notation Index.

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