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Banach Spaces
 
Banach Spaces
eBook ISBN:  978-0-8218-7735-7
Product Code:  CONM/144.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Banach Spaces
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Banach Spaces
eBook ISBN:  978-0-8218-7735-7
Product Code:  CONM/144.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1441993; 201 pp
    MSC: 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.

    Readership

    Linear 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 infinite-dimensional 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, Pei-Kee 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 Dunford-Pettis 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, Bor-Luh 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 Bor-Luh Lin — Three-space problem for the asymptotic-norming 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, Bor-Luh Lin and Wen Yao Zhang — Some geometrical properties of Banach spaces related to nearly uniform convexity [ MR 1209459 ]
    • Vitali D. Milman and Nicole Tomczak-Jaegermann — Asymptotic $l_p$ spaces and bounded distortions [ MR 1209460 ]
    • E. Odell — On Schreier unconditional sequences [ MR 1209461 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1441993; 201 pp
MSC: 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.

Readership

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 infinite-dimensional 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, Pei-Kee 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 Dunford-Pettis 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, Bor-Luh 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 Bor-Luh Lin — Three-space problem for the asymptotic-norming 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, Bor-Luh Lin and Wen Yao Zhang — Some geometrical properties of Banach spaces related to nearly uniform convexity [ MR 1209459 ]
  • Vitali D. Milman and Nicole Tomczak-Jaegermann — Asymptotic $l_p$ spaces and bounded distortions [ MR 1209460 ]
  • E. Odell — On Schreier unconditional sequences [ MR 1209461 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.