Geometric Aspects of Banach Spaces: Essays in Honour of Antonio Plans

doi:10.1017/CBO9780511662300

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.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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Dedication
pp vii-viii
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1 - Antonio Plans: a biographical outline
pp 1-10
- By E. Martín-Peinador
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2 - Infinite dimensional geometric moduli and type-cotype theory
pp 11-38
- By V. Milman, The Raymond and Beerley Sackler, Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel, A. Perelson, The Raymond and Beerley Sackler, Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel
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3 - Hilbert space revisited
pp 39-53
- By J.R. Retherford, Louisiana State University, Baton Rouge, LA 70803
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4 - Particular M-basic sequences in Banach spaces
pp 54-72
- By Paolo Terenzi, Dipart. di Matematica del Pol. di Milano, Milano, Italy.
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5 - Behaviour of semi-Fredholm operators on a Hilbert cube
pp 73-86
- By Alvaro A. Rodés Usán, Departamento de Matemáticas. Universidad de Zaragoza.
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6 - Operators from H1 into a Banach space and vector valued measures
pp 87-93
- By Oscar Blasco, Departamento de Matemáticas, Univ. de Zaragoza, Spain.
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7 - Operators on vector sequence spaces
pp 94-106
- By Fernando Bombal, Universidad Complutense de Madrid, Spain.
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8 - On the duality problem for entropy numbers
pp 107-111
- By Hermann König, Univ. Kiel, Germany.
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9 - Mixed summing norms and finite dimensional Lorentz spaces
pp 112-124
- By G.J.O. Jameson, University of Lancaster, Great Britain
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10 - On the extension of 2-polynomials in normed linear spaces
pp 125-132
- By Carlos Benitez, Dpto de Matemáticas, Univ. de Extremadura, Badajoz, Spain., María C. Otero, Dpto. de Analisis Matemático, Univ. de Santiago, Spain
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11 - On some operator ideals defined by approximation numbers
pp 133-139
- By Fernando Cobos, Dpto. de Matemáticas, Univ. Autónoma de Madrid, Madrid, Spain, Ivam Resina, Inst. de Matemática, Univ. Estadual de Campinas,S.Paulo, Brasil
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12 - Some remarks on the compact non-nuclear operator problem
pp 140-144
- By Kamil John, Math. Inst. of Czechoslovak Academy of Sciences, Praha.
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13 - On some properties of A*, L1/H10 as Banach Algebras
pp 145-158
- By Juan C. Candeal, Dpto. de An. Económico, E.U.E.E., Zaragoza, Spain, José E. Galé, Dpto. de Matemáticas, Fac. Ciencias, Zaragoza, Spain.
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14 - On factorization of operators
pp 159-168
- By M. González, Univ. of Santander, Spain, V.M. Onieva, Univ. of Zaragoza, Spain
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15 - Some properties of Banach spaces Z**/Z
pp 169-194
- By M. Valdivia, Fac. de Matemáticas, Burjasot (Valencia), Spain
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Geometric Aspects of Banach Spaces

Essays in Honour of Antonio Plans

Book description

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Dedication
pp vii-viii

1 - Antonio Plans: a biographical outline
pp 1-10

2 - Infinite dimensional geometric moduli and type-cotype theory
pp 11-38

3 - Hilbert space revisited
pp 39-53

4 - Particular M-basic sequences in Banach spaces
pp 54-72

5 - Behaviour of semi-Fredholm operators on a Hilbert cube
pp 73-86

6 - Operators from H1 into a Banach space and vector valued measures
pp 87-93

7 - Operators on vector sequence spaces
pp 94-106

8 - On the duality problem for entropy numbers
pp 107-111

9 - Mixed summing norms and finite dimensional Lorentz spaces
pp 112-124

10 - On the extension of 2-polynomials in normed linear spaces
pp 125-132

11 - On some operator ideals defined by approximation numbers
pp 133-139

12 - Some remarks on the compact non-nuclear operator problem
pp 140-144

13 - On some properties of A*, L1/H10 as Banach Algebras
pp 145-158

14 - On factorization of operators
pp 159-168

15 - Some properties of Banach spaces Z**/Z
pp 169-194

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Geometric Aspects of Banach Spaces

Essays in Honour of Antonio Plans

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