Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics)

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Isomorphisms of spaces of affine continuous complex functions | MATHEMATICA SCANDINAVICA

Reprint of the original. MR [3] William J.

The Basis for Linear and Nonlinear Analysis

Davis , David W. Davis and Joram Lindenstrauss , On total nonnorming subspaces , Proc. North Carolina, Chapel Hill, N. The basis for linear and nonlinear analysis. MR [7] W.


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Gowers and B. Maurey , The unconditional basic sequence problem , J. Sequence spaces; Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. MR References [1] Spiros A. Argyros and Andreas Tolias, Methods in the theory of hereditarily indecomposable Banach spaces , Mem.

Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.

Isomorphisms of spaces of affine continuous complex functions

It is as current as a book this massive and wide-ranging can be. Robbins, Choice, Vol. All of the standard topics as well as many other topics are covered and the authors have accumulated a large collection of exercises on which students can hone their skills. It is clearly written and provides accessible references to many techniques that are commonly used in contemporary research in Banach space theory.


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The authors have tried to include everything that might be useful in applications in optimization, PDEs, analysis …. Most importantly, the book comes with a good set of indices, which should make it a useful reference.

Mod-01 Lec-10 Banach Spaces and Schauder Basic

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