**Contemporary Mathematics**

Volume: 435;
2007;
394 pp;
Softcover

MSC: Primary 30; 46; 47;

Print ISBN: 978-0-8218-4061-0

Product Code: CONM/435

List Price: $112.00

Individual Member Price: $89.60

**Electronic ISBN: 978-0-8218-8114-9
Product Code: CONM/435.E**

List Price: $112.00

Individual Member Price: $89.60

# Function Spaces

Share this page *Edited by *
*Krzysztof Jarosz*

This book consists of contributions by the participants of the Fifth Conference on Function Spaces, held at Southern Illinois University in May of 2006. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), \(L^{p}\)-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects. The goal of the conference was to bring together mathematicians interested in various problems related to function spaces and to facilitate the exchange of ideas between people working on similar problems. Hence, the majority of papers in this book are accessible to non-experts. Some articles contain expositions of known results and discuss open problems; others contain new results.

#### Readership

Graduate students and research mathematicians interested in functional analysis.

#### Reviews & Endorsements

Surveying or presenting new results in various areas of analyis related to function spaces, the present volume appeals to a larger audience, first of all people working in the domain, but also researchers in related areas who want to be informed about results and methods in this field.

-- Stefan Cobzas, Studia Universitatis Babes-Bolyai, Mathematica

# Table of Contents

## Function Spaces

- Contents iii4 free
- Young-Fenchel transformation and some new characteristics of Banach spaces 18 free
- The Diameter Space, A Restriction of the Drury-Arveson-Hardy Space 2128
- An example concerning the boundary of topologically invertible elements 4350
- Sums and products of bad functions 4754
- The Disc Algebra and a Moment Problem 5360
- Cohomology of Banach algebras of operators and geometry of Banach spaces 5764
- Operators from Hp to lq for 0 < p < 1 ≤ q < ∞ 8188
- Von Neumann algebraic Hp theory 8996
- On the Stability of Logmodularity for Uniform Algebras 115122
- Equivalents of the Kadison-Singer Problem 123130
- Strongly Proximinal Subspaces in Banach Spaces 143150
- Countable linear combinations of characters on commutative Banach algebras 153160
- Regularity and amenability conditions for uniform algebras 159166
- Semi-homogeneous bases in Orlicz sequence spaces 171178
- Closed sums of marginal subspaces of Banach function spaces 183190
- Strong semisimplicity and finite-dimensionality in Ambrose algebras 191198
- Surjections on the algebras of continuous functions which preserve peripheral spectrum 199206
- Copies of lp and co in general quasi-normed Orlicz-Lorentz sequence spaces 207214
- Asymptotics of Toeplitz Determinants Generated by Functions with Fourier Coefficients in Weighted Orlicz Sequence Classes 229236
- Approximation properties for subalgebras of Co(X) 245252
- The General Strict Topology on Topological Modules 253260
- Weakly Peripherally-Multiplicative Mappings Between Uniform Algebras 265272
- Topological structures of the spaces of composition operators on spaces of analytic functions 283290
- Spectral Isometries, II 301308
- When do quasi-similar operators have the same essential spectrum? 311318
- A survey of certain algebraic equations in commutative C* -algebras 327334
- Examples of Banach spaces that are not Banach algebras 335342
- On complex Banach submanifolds of a Banach space 343350
- Topological joint spectrum of generators and continuous characters 355362
- Moments from their very truncations 363370
- A variation of Takesaki duality for ordered abelian groups and Arveson's spectral subspaces 371378
- Zero product preservers of C*-algebras 377384
- Spectra of algebras of analytic functions and polynomials on Banach spaces 381388