eBook ISBN:  9780821878231 
Product Code:  CONM/232.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878231 
Product Code:  CONM/232.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 232; 1999; 361 ppMSC: Primary 46; 30; 32
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 Banachvalued 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.
ReadershipGraduate students and research mathematicians interested in functional analysis.

Table of Contents

Articles

María D. Acosta — Norm attaining operators into $L_1(\mu )$ [ MR 1678313 ]

Pietro Aiena — The WeylBrowder spectrum of a multiplier [ MR 1678314 ]

John Akeroyd and Elias G. Saleeby — On polynomial approximation in the mean [ MR 1678315 ]

John T. Anderson and Joseph A. Cima — A uniqueness theorem for normal functions of several complex variables [ MR 1678316 ]

Jesús Araujo and Krzysztof Jarosz — Separating maps on spaces of continuous functions [ MR 1678317 ]

Richard Aron and Juan Bès — Hypercyclic differentiation operators [ MR 1678318 ]

P. Avramidou and F. Jafari — On norms of composition operators on Hardy spaces [ MR 1678319 ]

C. Badea — Stable ranks, $K$groups and Witt groups of some Banach and $C^*$algebras [ MR 1678320 ]

Alain Bernard and Gilbert Muraz — Locally constant almost everywhere Fourier transform [ MR 1678321 ]

Swanhild Bernstein — The quaternionic Riemann problem [ MR 1678322 ]

Oscar Blasco — Convolution by means of bilinear maps [ MR 1678323 ]

C.H. Chu, A. M. Galindo and A. Rodríguez Palacios — On prime real ${\rm JB}^*$triples [ MR 1678324 ]

Manuel D. Contreras and Santiago DíazMadrigal — Compacttype operators defined on $H^\infty $ [ MR 1678325 ]

S. J. Dilworth — On the extensibility of certain homeomorphisms and linear isometries [ MR 1678326 ]

Patrick N. Dowling — The fixed point property for subsets of $L_1[0,1]$ [ MR 1678327 ]

J. F. Feinstein and D. W. B. Somerset — Strong regularity for uniform algebras [ MR 1678328 ]

Raquel Gonzalo and Jesús Angel Jaramillo — High order smoothness in sequence spaces and spreading models [ MR 1678329 ]

Pamela Gorkin and Raymond Mortini — A survey of closed ideals in familiar function algebras [ MR 1678333 ]

Osamu Hatori — Subalgebras of commutative Banach algebras and Fourier multipliers with natural spectra [ MR 1678330 ]

Finbarr Holland and Richard Rochberg — Bergman kernels and Hankel forms on generalized Fock spaces [ MR 1678331 ]

Krzysztof Jarosz — When is a linear functional multiplicative? [ MR 1678332 ]

N. J. Kalton — A remark on Banach spaces isomorphic to their squares [ MR 1678334 ]

Steven G. Krantz and Marco M. Peloso — Sobolev spaces and projections of holomorphic functions and mappings [ MR 1678335 ]

Fernando LeónSaavedra — Universal functions on the unit ball and the polydisk [ MR 1678336 ]

Takeshi Miura — On commutative $C^*$algebras in which every element is almost the square of another [ MR 1678337 ]

Takahiko Nakazi — Some special bounded homomorphisms of a uniform algebra [ MR 1678338 ]

Michael M. Neumann — Analytic functional models for operators on Banach spaces [ MR 1678339 ]

Beata Randrianantoanina — Injective isometries in Orlicz spaces [ MR 1678340 ]

Angel RodríguezPalacios and M. Victoria Velasco — Continuity of homomorphisms and derivations on Banach algebras with an involution [ MR 1678341 ]

Aristomenis G. Siskakis and Ruhan Zhao — A Volterra type operator on spaces of analytic functions [ MR 1678342 ]

Karel Stroethoff — Algebraic properties of Toeplitz operators on the Hardy space via the Berezin transform [ MR 1678343 ]

Hiroyuki Takagi and Katsuhiko Yokouchi — Multiplication and composition operators between two $L^p$spaces [ MR 1678344 ]

T. Tonev — Bourgain algebras and inductive limit algebras [ MR 1678345 ]

Abdelmajid Triki — A note on averaging operators [ MR 1678346 ]

Keiichi Watanabe — Problems on isometries of noncommutative $L^p$spaces [ MR 1678347 ]

Andriy Zagorodnyuk — Multiplicative polynomial operators on topological algebras [ MR 1678348 ]


Reviews

A very nice collection of short surveytype articles mixed with research articles.
Monatshefte für Mathematik


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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 Banachvalued 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.
Graduate students and research mathematicians interested in functional analysis.

Articles

María D. Acosta — Norm attaining operators into $L_1(\mu )$ [ MR 1678313 ]

Pietro Aiena — The WeylBrowder spectrum of a multiplier [ MR 1678314 ]

John Akeroyd and Elias G. Saleeby — On polynomial approximation in the mean [ MR 1678315 ]

John T. Anderson and Joseph A. Cima — A uniqueness theorem for normal functions of several complex variables [ MR 1678316 ]

Jesús Araujo and Krzysztof Jarosz — Separating maps on spaces of continuous functions [ MR 1678317 ]

Richard Aron and Juan Bès — Hypercyclic differentiation operators [ MR 1678318 ]

P. Avramidou and F. Jafari — On norms of composition operators on Hardy spaces [ MR 1678319 ]

C. Badea — Stable ranks, $K$groups and Witt groups of some Banach and $C^*$algebras [ MR 1678320 ]

Alain Bernard and Gilbert Muraz — Locally constant almost everywhere Fourier transform [ MR 1678321 ]

Swanhild Bernstein — The quaternionic Riemann problem [ MR 1678322 ]

Oscar Blasco — Convolution by means of bilinear maps [ MR 1678323 ]

C.H. Chu, A. M. Galindo and A. Rodríguez Palacios — On prime real ${\rm JB}^*$triples [ MR 1678324 ]

Manuel D. Contreras and Santiago DíazMadrigal — Compacttype operators defined on $H^\infty $ [ MR 1678325 ]

S. J. Dilworth — On the extensibility of certain homeomorphisms and linear isometries [ MR 1678326 ]

Patrick N. Dowling — The fixed point property for subsets of $L_1[0,1]$ [ MR 1678327 ]

J. F. Feinstein and D. W. B. Somerset — Strong regularity for uniform algebras [ MR 1678328 ]

Raquel Gonzalo and Jesús Angel Jaramillo — High order smoothness in sequence spaces and spreading models [ MR 1678329 ]

Pamela Gorkin and Raymond Mortini — A survey of closed ideals in familiar function algebras [ MR 1678333 ]

Osamu Hatori — Subalgebras of commutative Banach algebras and Fourier multipliers with natural spectra [ MR 1678330 ]

Finbarr Holland and Richard Rochberg — Bergman kernels and Hankel forms on generalized Fock spaces [ MR 1678331 ]

Krzysztof Jarosz — When is a linear functional multiplicative? [ MR 1678332 ]

N. J. Kalton — A remark on Banach spaces isomorphic to their squares [ MR 1678334 ]

Steven G. Krantz and Marco M. Peloso — Sobolev spaces and projections of holomorphic functions and mappings [ MR 1678335 ]

Fernando LeónSaavedra — Universal functions on the unit ball and the polydisk [ MR 1678336 ]

Takeshi Miura — On commutative $C^*$algebras in which every element is almost the square of another [ MR 1678337 ]

Takahiko Nakazi — Some special bounded homomorphisms of a uniform algebra [ MR 1678338 ]

Michael M. Neumann — Analytic functional models for operators on Banach spaces [ MR 1678339 ]

Beata Randrianantoanina — Injective isometries in Orlicz spaces [ MR 1678340 ]

Angel RodríguezPalacios and M. Victoria Velasco — Continuity of homomorphisms and derivations on Banach algebras with an involution [ MR 1678341 ]

Aristomenis G. Siskakis and Ruhan Zhao — A Volterra type operator on spaces of analytic functions [ MR 1678342 ]

Karel Stroethoff — Algebraic properties of Toeplitz operators on the Hardy space via the Berezin transform [ MR 1678343 ]

Hiroyuki Takagi and Katsuhiko Yokouchi — Multiplication and composition operators between two $L^p$spaces [ MR 1678344 ]

T. Tonev — Bourgain algebras and inductive limit algebras [ MR 1678345 ]

Abdelmajid Triki — A note on averaging operators [ MR 1678346 ]

Keiichi Watanabe — Problems on isometries of noncommutative $L^p$spaces [ MR 1678347 ]

Andriy Zagorodnyuk — Multiplicative polynomial operators on topological algebras [ MR 1678348 ]

A very nice collection of short surveytype articles mixed with research articles.
Monatshefte für Mathematik