**Contemporary Mathematics**

Volume: 321;
2003;
378 pp;
Softcover

MSC: Primary 22; 46; 47; 51;

Print ISBN: 978-0-8218-3234-9

Product Code: CONM/321

List Price: $103.00

AMS Member Price: $82.40

MAA Member Price: $92.70

**Electronic ISBN: 978-0-8218-7911-5
Product Code: CONM/321.E**

List Price: $103.00

AMS Member Price: $82.40

MAA Member Price: $92.70

# Trends in Banach Spaces and Operator Theory

Share this page *Edited by *
*Anna Kamińska*

This volume contains proceedings of the conference on Trends in Banach Spaces
and Operator Theory, which was devoted to recent advances in theories of Banach
spaces and linear operators.

Included in the volume are 25 papers, some of which are expository, while
others present new results. The articles address the following topics: history
of the famous James' theorem on reflexivity, projective tensor products,
construction of noncommutative \(L_p\)-spaces via interpolation, Banach
spaces with abundance of nontrivial operators, Banach spaces with small spaces
of operators, convex geometry of Coxeter-invariant polyhedra, uniqueness of
unconditional bases in quasi-Banach spaces, dynamics of cohyponormal operators,
and Fourier algebras for locally compact groupoids.

The book is suitable for graduate students and research mathematicians
interested in Banach spaces and operator theory and their applications.

#### Readership

Graduate students and research mathematicians interested in Banach spaces and operator theory and their applications.

# Table of Contents

## Trends in Banach Spaces and Operator Theory

- Contents iii4 free
- Preface v6 free
- Characterizations of the reflexive spaces in the spirit of James' Theorem 18 free
- Uniqueness of unconditional bases in quasi-Banach spaces 1522
- A note on the method of minimal vectors 2936
- The projective tensor product I 3744
- Spectrum of a weakly hypercyclic operator meets the unit circle 6774
- The dynamics of cohyponormal operators 7178
- Hilbert-Schmidt composition operators on Dirichlet spaces 8794
- A remark on sectorial operators with an H∞-calculus 9198
- Borel injective tensor product and convolution of vector measures and their weak convergence 101108
- On linear operator pencils and inclusions of images of balls 115122
- Ordinal indices and l1-spreading models 125132
- Characterizing the existence of local Smith forms for C∞ families of matrix operators 139146
- Convex geometry of Coxeter-invariant polyhedra 153160
- Commutators on bounded symmetric domains in Cn 181188
- Growth conditions and decomposable extensions 197204
- Differences of composition operators 207214
- Complex vs. real variables for real 3-homogeneous polynomials on l21: A counterexample 215222
- The Fourier-Stieltjes and Fourier algebras for locally compact groupoids 223230
- Preserving the commutant under functional calculus 239246
- Lp-spaces associated with a von Neumann algebra without trace: a gentle introduction via complex interpolation 245252
- Banach and operator space structure of C* -algebras 275282
- How many operators exist on a Banach space? 295302
- Maximal algebra norms 335342
- On Banach spaces with small spaces of operators 347354
- A remark on p-summing norms of operators 371378