eBook ISBN:  9780821877357 
Product Code:  CONM/144.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877357 
Product Code:  CONM/144.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 144; 1993; 201 ppMSC: Primary 46
This volume contains the proceedings of the International Workshop on Banach Space Theory, held at the Universidad de Los Andes in Merida, Venezuela in January 1992. These refereed papers contain the newest results in Banach space theory, real or complex function spaces, and nonlinear functional analysis. There are several excellent survey papers, including ones on homogeneous Banach spaces and applications of probability inequalities, in addition to an important research paper on the distortion problem. This volume is notable for the breadth of the mathematics presented.
ReadershipLinear and nonlinear functional analysts, in particular, specialists in Banach space theories.

Table of Contents

Articles

Raymundo Alencar — An application of Singer’s theorem to homogeneous polynomials [ MR 1209441 ]

Dale E. Alspach — A $l_1$predual which is not isometric to a quotient of $C(\alpha )$ [ MR 1209442 ]

R. M. Aron, Y. S. Choi, M. L. Louren and O. W. Paques — Boundaries for algebras of analytic functions on infinitedimensional Banach spaces [ MR 1209443 ]

Oscar Blasco — Multipliers on weighted Besov spaces of analytic functions [ MR 1209444 ]

Peter G. Casazza — Some questions arising from the homogeneous Banach space problem [ MR 1209445 ]

S. J. Dilworth — Some probabilistic inequalities with applications to functional analysis [ MR 1209446 ]

S. J. Dilworth and Maria Girardi — Bochner vs. Pettis norm: examples and results [ MR 1209447 ]

Patrick N. Dowling, Zhibao Hu and Mark A. Smith — Extremal structure of the unit ball of $C(K,X)$ [ MR 1209448 ]

John M. Dye, Tadeusz Kuczumow, PeiKee Lin and Simeon Reich — Random products of nonexpansive mappings in spaces with the Opial property [ MR 1209449 ]

Jeff Farmer and William B. Johnson — Polynomial Schur and polynomial DunfordPettis properties [ MR 1209450 ]

A. García del Amo and Francisco L. Hernández — On embeddings of function spaces into $L^p+L^q$ [ MR 1209451 ]

B. V. Godun, BorLuh Lin and S. L. Troyanski — On Auerbach bases [ MR 1209452 ]

B. V. Godun and S. L. Troyanski — Renorming Banach spaces with fundamental biorthogonal system [ MR 1209453 ]

Yehoram Gordon — Quantitative estimates on random subspaces which miss arbitrary measurable sets on the sphere [ MR 1209454 ]

Zhibao Hu and BorLuh Lin — Threespace problem for the asymptoticnorming property of Banach spaces [ MR 1209455 ]

K. Jarosz — Isometries of Bloch spaces [ MR 1209456 ]

W. A. Kirk — Property $(\beta )$ and Edelstein’s algorithms for constructing nearest and farthest points [ MR 1209457 ]

Helmut Knaust — $p$Hilbertian subsequences in $l_1(X)$ [ MR 1209458 ]

D. N. Kutzarova, BorLuh Lin and Wen Yao Zhang — Some geometrical properties of Banach spaces related to nearly uniform convexity [ MR 1209459 ]

Vitali D. Milman and Nicole TomczakJaegermann — Asymptotic $l_p$ spaces and bounded distortions [ MR 1209460 ]

E. Odell — On Schreier unconditional sequences [ MR 1209461 ]


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This volume contains the proceedings of the International Workshop on Banach Space Theory, held at the Universidad de Los Andes in Merida, Venezuela in January 1992. These refereed papers contain the newest results in Banach space theory, real or complex function spaces, and nonlinear functional analysis. There are several excellent survey papers, including ones on homogeneous Banach spaces and applications of probability inequalities, in addition to an important research paper on the distortion problem. This volume is notable for the breadth of the mathematics presented.
Linear and nonlinear functional analysts, in particular, specialists in Banach space theories.

Articles

Raymundo Alencar — An application of Singer’s theorem to homogeneous polynomials [ MR 1209441 ]

Dale E. Alspach — A $l_1$predual which is not isometric to a quotient of $C(\alpha )$ [ MR 1209442 ]

R. M. Aron, Y. S. Choi, M. L. Louren and O. W. Paques — Boundaries for algebras of analytic functions on infinitedimensional Banach spaces [ MR 1209443 ]

Oscar Blasco — Multipliers on weighted Besov spaces of analytic functions [ MR 1209444 ]

Peter G. Casazza — Some questions arising from the homogeneous Banach space problem [ MR 1209445 ]

S. J. Dilworth — Some probabilistic inequalities with applications to functional analysis [ MR 1209446 ]

S. J. Dilworth and Maria Girardi — Bochner vs. Pettis norm: examples and results [ MR 1209447 ]

Patrick N. Dowling, Zhibao Hu and Mark A. Smith — Extremal structure of the unit ball of $C(K,X)$ [ MR 1209448 ]

John M. Dye, Tadeusz Kuczumow, PeiKee Lin and Simeon Reich — Random products of nonexpansive mappings in spaces with the Opial property [ MR 1209449 ]

Jeff Farmer and William B. Johnson — Polynomial Schur and polynomial DunfordPettis properties [ MR 1209450 ]

A. García del Amo and Francisco L. Hernández — On embeddings of function spaces into $L^p+L^q$ [ MR 1209451 ]

B. V. Godun, BorLuh Lin and S. L. Troyanski — On Auerbach bases [ MR 1209452 ]

B. V. Godun and S. L. Troyanski — Renorming Banach spaces with fundamental biorthogonal system [ MR 1209453 ]

Yehoram Gordon — Quantitative estimates on random subspaces which miss arbitrary measurable sets on the sphere [ MR 1209454 ]

Zhibao Hu and BorLuh Lin — Threespace problem for the asymptoticnorming property of Banach spaces [ MR 1209455 ]

K. Jarosz — Isometries of Bloch spaces [ MR 1209456 ]

W. A. Kirk — Property $(\beta )$ and Edelstein’s algorithms for constructing nearest and farthest points [ MR 1209457 ]

Helmut Knaust — $p$Hilbertian subsequences in $l_1(X)$ [ MR 1209458 ]

D. N. Kutzarova, BorLuh Lin and Wen Yao Zhang — Some geometrical properties of Banach spaces related to nearly uniform convexity [ MR 1209459 ]

Vitali D. Milman and Nicole TomczakJaegermann — Asymptotic $l_p$ spaces and bounded distortions [ MR 1209460 ]

E. Odell — On Schreier unconditional sequences [ MR 1209461 ]