eBook ISBN:  9780821879184 
Product Code:  CONM/328.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821879184 
Product Code:  CONM/328.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 328; 2003; 322 ppMSC: Primary 32; 46; 47; 54
This volume presents papers from the Fourth Conference on Function Spaces. The conference brought together mathematicians interested in various problems within the general area of function spaces, allowing for discussion and exchange of ideas on those problems and related questions.
The lectures covered 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 Banachvalued functions, isometries of function spaces, geometry of Banach spaces, and related subjects.
Included are 26 articles written by leading experts. Known results, open problems, and new discoveries are featured. Most papers are written for nonexperts, so the book can serve as a good introduction to the material presented.
ReadershipGraduate students and research mathematicians interested in functional analysis.

Table of Contents

Articles

Pietro Aiena and Fernando Villafañe — Components of resolvent sets and local spectral theory [ MR 1990385 ]

John R. Akeroyd — The FejérRiesz inequality and the index of the shift [ MR 1990386 ]

John T. Anderson and John Wermer — A CauchyGreen formula on the unit sphere in $C^2$ [ MR 1990387 ]

Hugo Arizmendi, Angel Carrillo and Lourdes Palacios — On $\alpha $dual algebras [ MR 1990388 ]

Richard M. Aron and Manuel Maestre — A connected metric space that is not separably connected [ MR 1990389 ]

Pradipta Bandyopadhyay and S. Dutta — Weighted Chebyshev centres and intersection properties of balls in Banach spaces [ MR 1990390 ]

Paul Beneker and Jan Wiegerinck — The boundary of the unit ball in $H^1$type spaces [ MR 1990391 ]

David P. Blecher and Damon M. Hay — Complete isometries—an illustration of noncommutative functional analysis [ MR 1990392 ]

Karim Boulabiar, Gerard Buskes and Abdelmajid Triki — Some recent trends and advances in certain lattice ordered algebras [ MR 1990393 ]

Eggert Briem — An extension of a theorem of Wermer, Bernard, Sidney and Hatori to algebras of functions on locally compact spaces [ MR 1990394 ]

Qingying Bu — Some mapping properties of $p$summing operators with Hilbertian domain [ MR 1990395 ]

Audrey Curnock, John Howroyd and NgaiChing Wong — The unique decomposition property and the BanachStone theorem [ MR 1990396 ]

Thomas Dawson — A survey of algebraic extensions of commutative, unital normed algebras [ MR 1990397 ]

P. N. Dowling, C. J. Lennard and B. Turett — Some more examples of subsets of $c_0$ and $L^1[0,1]$ failing the fixed point property [ MR 1990398 ]

Pamela Gorkin, Raymond Mortini and Daniel Suárez — Homotopic composition operators on $H^\infty (B^n)$ [ MR 1990399 ]

J. J. Grobler and M. De Kock — Characterization of conditional expectation in terms of positive projections [ MR 1990400 ]

Marina Haralampidou — The Krull nature of locally $C^*$algebras [ MR 1990401 ]

Osamu Hatori, Takashi Ishii, Takeshi Miura and SinEi Takahasi — Characterizations and automatic linearity for ring homomorphisms on algebras of functions [ MR 1990402 ]

Hans Jarchow and Urs Kollbrunner — Carleson embeddings for weighted Bergman spaces [ MR 1990403 ]

Krzysztof Jarosz and T. S. S. R. K. Rao — Weak${}^*$extreme points of injective tensor product spaces [ MR 1990404 ]

KangTae Kim and Steven G. Krantz — Determining sets and fixed points for holomorphic endomorphisms [ MR 1990405 ]

T. L. Miller, V. G. Miller and M. M. Neumann — Localization in the spectral theory of operators on Banach spaces [ MR 1990406 ]

Volker Runde — Abstract harmonic analysis, homological algebra, and operator spaces [ MR 1990407 ]

David Sherman — Relative tensor products for modules over von Neumann algebras [ MR 1990408 ]

Stuart J. Sidney — Uniform algebras generated by unimodular functions [ MR 1990409 ]

Thomas Tonev and S. A. Grigoryan — Analytic functions on compact groups and their applications to almost periodic functions [ MR 1990410 ]


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This volume presents papers from the Fourth Conference on Function Spaces. The conference brought together mathematicians interested in various problems within the general area of function spaces, allowing for discussion and exchange of ideas on those problems and related questions.
The lectures covered 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 Banachvalued functions, isometries of function spaces, geometry of Banach spaces, and related subjects.
Included are 26 articles written by leading experts. Known results, open problems, and new discoveries are featured. Most papers are written for nonexperts, so the book can serve as a good introduction to the material presented.
Graduate students and research mathematicians interested in functional analysis.

Articles

Pietro Aiena and Fernando Villafañe — Components of resolvent sets and local spectral theory [ MR 1990385 ]

John R. Akeroyd — The FejérRiesz inequality and the index of the shift [ MR 1990386 ]

John T. Anderson and John Wermer — A CauchyGreen formula on the unit sphere in $C^2$ [ MR 1990387 ]

Hugo Arizmendi, Angel Carrillo and Lourdes Palacios — On $\alpha $dual algebras [ MR 1990388 ]

Richard M. Aron and Manuel Maestre — A connected metric space that is not separably connected [ MR 1990389 ]

Pradipta Bandyopadhyay and S. Dutta — Weighted Chebyshev centres and intersection properties of balls in Banach spaces [ MR 1990390 ]

Paul Beneker and Jan Wiegerinck — The boundary of the unit ball in $H^1$type spaces [ MR 1990391 ]

David P. Blecher and Damon M. Hay — Complete isometries—an illustration of noncommutative functional analysis [ MR 1990392 ]

Karim Boulabiar, Gerard Buskes and Abdelmajid Triki — Some recent trends and advances in certain lattice ordered algebras [ MR 1990393 ]

Eggert Briem — An extension of a theorem of Wermer, Bernard, Sidney and Hatori to algebras of functions on locally compact spaces [ MR 1990394 ]

Qingying Bu — Some mapping properties of $p$summing operators with Hilbertian domain [ MR 1990395 ]

Audrey Curnock, John Howroyd and NgaiChing Wong — The unique decomposition property and the BanachStone theorem [ MR 1990396 ]

Thomas Dawson — A survey of algebraic extensions of commutative, unital normed algebras [ MR 1990397 ]

P. N. Dowling, C. J. Lennard and B. Turett — Some more examples of subsets of $c_0$ and $L^1[0,1]$ failing the fixed point property [ MR 1990398 ]

Pamela Gorkin, Raymond Mortini and Daniel Suárez — Homotopic composition operators on $H^\infty (B^n)$ [ MR 1990399 ]

J. J. Grobler and M. De Kock — Characterization of conditional expectation in terms of positive projections [ MR 1990400 ]

Marina Haralampidou — The Krull nature of locally $C^*$algebras [ MR 1990401 ]

Osamu Hatori, Takashi Ishii, Takeshi Miura and SinEi Takahasi — Characterizations and automatic linearity for ring homomorphisms on algebras of functions [ MR 1990402 ]

Hans Jarchow and Urs Kollbrunner — Carleson embeddings for weighted Bergman spaces [ MR 1990403 ]

Krzysztof Jarosz and T. S. S. R. K. Rao — Weak${}^*$extreme points of injective tensor product spaces [ MR 1990404 ]

KangTae Kim and Steven G. Krantz — Determining sets and fixed points for holomorphic endomorphisms [ MR 1990405 ]

T. L. Miller, V. G. Miller and M. M. Neumann — Localization in the spectral theory of operators on Banach spaces [ MR 1990406 ]

Volker Runde — Abstract harmonic analysis, homological algebra, and operator spaces [ MR 1990407 ]

David Sherman — Relative tensor products for modules over von Neumann algebras [ MR 1990408 ]

Stuart J. Sidney — Uniform algebras generated by unimodular functions [ MR 1990409 ]

Thomas Tonev and S. A. Grigoryan — Analytic functions on compact groups and their applications to almost periodic functions [ MR 1990410 ]