**Contemporary Mathematics**

Volume: 232;
1999;
361 pp;
Softcover

MSC: Primary 46; 30; 32;

**Print ISBN: 978-0-8218-0939-6
Product Code: CONM/232**

List Price: $104.00

AMS Member Price: $83.20

MAA Member Price: $93.60

**Electronic ISBN: 978-0-8218-7823-1
Product Code: CONM/232.E**

List Price: $98.00

AMS Member Price: $78.40

MAA Member Price: $88.20

# Function Spaces

Share this page *Edited by *
*Krzysztof Jarosz*

This proceedings volume presents 36 papers given by leading
experts during the Third Conference on Function Spaces held at
Southern Illinois University at Edwardsville. A wide range of topics
in the subject area are covered. Most papers are written for
nonexperts, so the book can serve as a good introduction to the topic
for those interested in this area.

The book presents the following broad range of topics, including
spaces and algebras of analytic functions of one and of many
variables, \(L^p\) spaces, spaces of Banach-valued functions,
isometries of function spaces, geometry of Banach spaces and related
subjects. Known results, open problems, and new discoveries are
featured. At the time of publication, information about the book, the
conference, and a list and pictures of contributors are available on
the Web at www.siue.edu/MATH/conference.htm.

#### Readership

Graduate students and research mathematicians interested in functional analysis.

#### Reviews & Endorsements

A very nice collection of short survey-type articles mixed with research articles.

-- Monatshefte für Mathematik

# Table of Contents

## Function Spaces

- Contents vii8 free
- Preface xi12 free
- List of participants xiii14 free
- Norm attaining operators into L1 (µ) 120 free
- The Weyl-Browder spectrum of a multiplier 1332
- On polynomial approximation in the mean 2342
- A uniqueness theorem for normal functions of several complex variables 2746
- Separating maps on spaces of continuous functions 3352
- Hypercyclic differentiation operators 3958
- On norms of composition operators on Hardy spaces 4766
- Stable ranks, K-groups and Witt groups of some Banach and C*-algebras 5574
- Locally constant almost everywhere Fourier transform 6584
- The quaternionic Riemann problem 6988
- Convolution by means of bilinear maps 85104
- On prime real J B* -triples 105124
- Compact-type operators defined on H∞ 111130
- On the extensibility of certain homeomorphisms and linear isometries 119138
- The fixed point property for subsets of L1 [0, 1] 131150
- Strong regularity for uniform algebras 139158
- High order smoothness in sequence spaces and spreading models 151170
- A survey of closed ideals in familiar function algebras 161180
- Subalgebras of commutative Banach algebras and Fourier multipliers with natural spectra 171190
- Bergman kernels and Hankel forms on generalized Fock spaces 189208
- When is a linear functional multiplicative? 201220
- A remark on Banach spaces isomorphic to their squares 211230
- Sobolev spaces and projections of holomorphic functions and mappings 219238
- Universal functions on the unit ball and the polydisk 233252
- On commutative C*-algebras in which every element is almost the square of another 239258
- Some special bounded homomorphisms of a uniform algebra 243262
- Analytic functional models for operators on Banach spaces 253272
- Injective isometries in Orlicz spaces 269288
- Continuity of homomorphisms and derivations on Banach algebras with an involution 289308
- A Volterra type operator on spaces of analytic functions 299318
- Algebraic properties of Toeplitz operators on the Hardy space via the Berezin transform 313332
- Multiplication and composition operators between two LP-spaces 321340
- Bourgain algebras and inductive limit algebras 339358
- A note on averaging operators 345364
- Problems on isometries of non-commutative LP-spaces 349368
- Multiplicative polynomial operators on topological algebras 357376