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Proceedings of the Conference on Banach Algebras and Several Complex Variables
 
Edited by: F. Greenleaf
Proceedings of the Conference on Banach Algebras and Several Complex Variables
eBook ISBN:  978-0-8218-7617-6
Product Code:  CONM/32.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Proceedings of the Conference on Banach Algebras and Several Complex Variables
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Proceedings of the Conference on Banach Algebras and Several Complex Variables
Edited by: F. Greenleaf
eBook ISBN:  978-0-8218-7617-6
Product Code:  CONM/32.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 321985; 295 pp
    MSC: Primary 46; Secondary 00; 32

    These proceedings result from a conference on Banach Algebras and Several Complex Variables held June 21–24, 1983, to honor Professor Charles E. Rickart upon his retirement from Yale University. Articles present recent advances in a wide spectrum of topics related to Banach algebras, function algebras and infinite dimensional holomorphy, areas where Professor Rickart has made important contributions. From a research point of view, the articles of J. Esterle and B. Kramm are of special interest.

    Although the topics in this volume are diverse, a general knowledge of fundamental notions appearing in Banach algebra theory will suffice for understanding most articles.

  • Table of Contents
     
     
    • Articles
    • H. Alexander — Capacities in ${\bf C}^n$ [ MR 769493 ]
    • G. R. Allan — Holomorphic left-inverse functions [ MR 769494 ]
    • Bernard Aupetit — Geometry of pseudoconvex open sets and distribution of values of analytic multivalued functions [ MR 769495 ]
    • John M. Bachar, Jr. — Some results on range transformations between function spaces [ MR 769496 ]
    • William G. Bade — Recent results in the ideal theory of radical convolution algebras [ MR 769497 ]
    • W. G. Bade and P. C. Curtis, Jr. — Module derivations from commutative Banach algebras [ MR 769498 ]
    • F. F. Bonsall — Criteria for boundedness and compactness of Hankel operators [ MR 769499 ]
    • H. G. Dales — Algebra and Topology in Banach Algebras
    • Jean Esterle — Mittag-Leffler methods in the theory of Banach algebras and a new approach to Michael’s problem [ MR 769501 ]
    • Irving Glicksberg — Orthogonal and representing measures [ MR 769502 ]
    • Bruno Kramm — Nuclearity [resp. Schwartzity] helps to embed holomorphic structure into spectra—a survey [ MR 769503 ]
    • Donna Kumagai — Maximum modulus algebras and multidimensional analytic structure [ MR 769504 ]
    • K. B. Laursen — Central factorization in $C^\ast $-algebras and its use in automatic continuity [ MR 769505 ]
    • J. P. McClure — Nonstandard ideals and approximations in primary weighted $l^1$-algebras [ MR 769506 ]
    • A. G. O’Farrell, K. J. Preskenis and D. Walsh — Holomorphic approximation in Lipschitz norms [ MR 769507 ]
    • M. Rajagopalan and P. V. Ramakrishnan — Uses of $\beta S$ in invariant means and extremely left amenable semigroups [ MR 769508 ]
    • Richard Rochberg — Deformation theory for uniform algebras: an introduction [ MR 769509 ]
    • Walter Rudin — Nevanlinna’s interpolation theorem revisited [ MR 769510 ]
    • Shôichirô Sakai — Unbounded derivations in $C^\ast $-algebras and statistical mechanics (KMS states, bounded perturbations and phase transition) [ MR 769511 ]
    • Donald Sarason — Remotely almost periodic functions [ MR 769512 ]
    • Zbigniew Slodkowski — Analytic multifunctions: $q$-plurisubharmonic functions and uniform algebras [ MR 769513 ]
    • Edgar Lee Stout — Algebraic domains in Stein manifolds [ MR 769514 ]
    • Junzo Wada — Sets of best approximations to elements in certain function spaces [ MR 769515 ]
    • J. Wermer — Green’s functions and polynomial hulls [ MR 769516 ]
    • Bertram Yood — Continuous homomorphisms and derivations on Banach algebras [ MR 769517 ]
    • William R. Zame — The maximal ideal space of a commutative Banach algebra [ MR 769518 ]
  • 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: 321985; 295 pp
MSC: Primary 46; Secondary 00; 32

These proceedings result from a conference on Banach Algebras and Several Complex Variables held June 21–24, 1983, to honor Professor Charles E. Rickart upon his retirement from Yale University. Articles present recent advances in a wide spectrum of topics related to Banach algebras, function algebras and infinite dimensional holomorphy, areas where Professor Rickart has made important contributions. From a research point of view, the articles of J. Esterle and B. Kramm are of special interest.

Although the topics in this volume are diverse, a general knowledge of fundamental notions appearing in Banach algebra theory will suffice for understanding most articles.

  • Articles
  • H. Alexander — Capacities in ${\bf C}^n$ [ MR 769493 ]
  • G. R. Allan — Holomorphic left-inverse functions [ MR 769494 ]
  • Bernard Aupetit — Geometry of pseudoconvex open sets and distribution of values of analytic multivalued functions [ MR 769495 ]
  • John M. Bachar, Jr. — Some results on range transformations between function spaces [ MR 769496 ]
  • William G. Bade — Recent results in the ideal theory of radical convolution algebras [ MR 769497 ]
  • W. G. Bade and P. C. Curtis, Jr. — Module derivations from commutative Banach algebras [ MR 769498 ]
  • F. F. Bonsall — Criteria for boundedness and compactness of Hankel operators [ MR 769499 ]
  • H. G. Dales — Algebra and Topology in Banach Algebras
  • Jean Esterle — Mittag-Leffler methods in the theory of Banach algebras and a new approach to Michael’s problem [ MR 769501 ]
  • Irving Glicksberg — Orthogonal and representing measures [ MR 769502 ]
  • Bruno Kramm — Nuclearity [resp. Schwartzity] helps to embed holomorphic structure into spectra—a survey [ MR 769503 ]
  • Donna Kumagai — Maximum modulus algebras and multidimensional analytic structure [ MR 769504 ]
  • K. B. Laursen — Central factorization in $C^\ast $-algebras and its use in automatic continuity [ MR 769505 ]
  • J. P. McClure — Nonstandard ideals and approximations in primary weighted $l^1$-algebras [ MR 769506 ]
  • A. G. O’Farrell, K. J. Preskenis and D. Walsh — Holomorphic approximation in Lipschitz norms [ MR 769507 ]
  • M. Rajagopalan and P. V. Ramakrishnan — Uses of $\beta S$ in invariant means and extremely left amenable semigroups [ MR 769508 ]
  • Richard Rochberg — Deformation theory for uniform algebras: an introduction [ MR 769509 ]
  • Walter Rudin — Nevanlinna’s interpolation theorem revisited [ MR 769510 ]
  • Shôichirô Sakai — Unbounded derivations in $C^\ast $-algebras and statistical mechanics (KMS states, bounded perturbations and phase transition) [ MR 769511 ]
  • Donald Sarason — Remotely almost periodic functions [ MR 769512 ]
  • Zbigniew Slodkowski — Analytic multifunctions: $q$-plurisubharmonic functions and uniform algebras [ MR 769513 ]
  • Edgar Lee Stout — Algebraic domains in Stein manifolds [ MR 769514 ]
  • Junzo Wada — Sets of best approximations to elements in certain function spaces [ MR 769515 ]
  • J. Wermer — Green’s functions and polynomial hulls [ MR 769516 ]
  • Bertram Yood — Continuous homomorphisms and derivations on Banach algebras [ MR 769517 ]
  • William R. Zame — The maximal ideal space of a commutative Banach algebra [ MR 769518 ]
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
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