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Product Code:  CONM/32.E 
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Book DetailsContemporary MathematicsVolume: 32; 1985; 295 ppMSC: 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 leftinverse 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  MittagLeffler 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 ]


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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 leftinverse 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  MittagLeffler 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 ]