Geometric Aspects of Banach Spaces : Essays in Honour of Antonio Plans
E. Martin-Peinador
Bok Engelsk 1989 · Electronic books.
| Annen tittel | |
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| Utgitt | Cambridge : Cambridge University Press , 1989
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| Omfang | 1 online resource (206 p.)
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| Opplysninger | Description based upon print version of record.. - 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. - AcknowledgementsOn factorization of operators; REFERENCES; Some properties of Banach spaces Z** /Z; 1. NOTATIONS AND BASIC CONSTRUCTIONS; 2. BANACH SPACES Z**/Z; BIBLIOGRAPHY. - 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. - This volume concentrates on some important and contemporary themes in Banach space theory.
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| ISBN | 0521367522
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