Geometric aspects of Banach spaces : essays in honour of Antonio Plans / edited by E. Martin-Peinador and A. Rodés.

Format:

Book

Contributor:

Plans, Antonio, editor.

Martin-Peinador, E, editor.

Rodés, A., editor.

Series:

London Mathematical Society lecture note series ; 140.

London Mathematical Society lecture note series ; 140

Language:

English

Subjects (All):

Banach spaces.

Physical Description:

1 online resource (v, 194 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1989.

Language Note:

English

Summary:

This volume, dedicated to Professor A. Plans, concentrates on some important and contemporary themes in Banach space theory. The articles are by leading researchers and cover topics such as sequences, operators, eigenvalues, s-numbers and projection constants, so will be of interest to functional analysts and approximation theorists.

Contents:

Cover; Title; Copyright; Contents; Dedication; Antonio Plans: a biographical outline; Acknowledgements; References; PUBLICATIONS OF ANTONIO PLANS; DOCTORAL DISSERTATIONS ADVISED; Infinite dimensional geometric moduli and type-cotype theory; 1. INTRODUCTION; 2. DESCRIPTION OF THE MAIN RESULTS AND DISCUSSION; 3. ASYMPTOTIC BEHAVIOR OF GLOBAL β- AND δ-MODULI; 4. GEOMETRIC MODULI OF A BASIC SEQUENCE AND THEIR TYPE AND COTYPE; 5. FINITE DIMENSIONAL MODULI ββ(ε,B ) AND δδ(ε; B ) AND THE LOCAL STRUCTURE OF A SPACE; REFERENCES; Hilbert space revisited; 1. INTRODUCTION; 2. DEFINITIONS

3. EIGENVALUES OF NUCLEAR OPERATORS ON HILBERT SPACES4. GROTHENDIECK FACTORIZATION; 5. APPLICATIONS; I. Theorem of Cohen-Kwapien [C], [K]; II. Theorem of Lindenstrauss-Pelczynski [LP]; III. Theorem of Morrell -Retherford [MR]; IV. Theorem of Gordon-Lewis-Retherford [GLR]; V. Theorem of Holub [H]; VI. Theorem of Rosenberger [R]; 6. REMARKS; BIBLIOGRAPHY; Particular M-basic sequences in Banach spaces; INTRODUCTION; 1. MIDDLE M-BASES AND QUASI-STRONG M-BASES; 2. BASIC SUBSEQUENCES AND DECOMPOSITION IN A FINITE NUMBER OF MORE REGULAR SUBSEQUENCES; 3. OPEN PROBLEMS; REFERENCES

Behaviour of semi-Fredholm operators on a Hilbert cube0. INTRODUCTION; 1. THE BEHAVIOUR OF OPERATORS WITH RESPECT TO Q; REFERENCES; Operators from H into a Banach space and vector valued measures; 1. INTRODUCTION AND PREVIOUS DEFINITIONS; 2. THE THEOREM; REFERENCES; Operators on vector sequence spaces; INTRODUCTION AND NOTATIONS; 1. OPERATORS ON (Σ©En)p; 2. SOME APPLICATIONS; REFERENCES; On the duality problem for entropy numbers; REFERENCES; Mixed summing norms and finite dimensional Lorentz spaces; INTRODUCTION; Notation; Pisier's theorem; Finite-dimensional Lorentz spaces

The second form of Pisier's theoremSome estimates for counting measure; Comparison of other norms with Πp,1; References; On the extension of 2-polynomials in normed linear spaces; INTRODUCTION; RESULTS; SOME REMARKS; THE COMPLEX CASE; REFERENCES; On some operator ideals defined by approximation numbers; INTRODUCTION; MAIN RESULTS; REFERENCES; Some remarks on the compact non-nuclear operator problem; REFERENCES; On some properties of A*, L1 /H1 as Banach Algebras; INTRODUCTION; 1. AN ANALYTIC SEMIGROUP GENETING A* AND L1/H1; 2. MODULE HOMOMORPHIMS AND THE BANACH ALGEBRAS A*, L1/H1; REFERENCES

AcknowledgementsOn factorization of operators; REFERENCES; Some properties of Banach spaces Z** /Z; 1. NOTATIONS AND BASIC CONSTRUCTIONS; 2. BANACH SPACES Z**/Z; BIBLIOGRAPHY

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-139-88444-1

1-107-36643-7

1-107-37114-7

1-107-36152-4

1-107-36853-7

1-299-40421-9

1-107-36397-7

0-511-66230-0