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Proceedings of the Conference on Banach Algebras and Several Complex Variables

Edited by: F. Greenleaf
Available Formats:
Electronic ISBN: 978-0-8218-7617-6
Product Code: CONM/32.E
List Price: $51.00 MAA Member Price:$45.90
AMS Member Price: $40.80 Click above image for expanded view Proceedings of the Conference on Banach Algebras and Several Complex Variables Edited by: F. Greenleaf Available Formats:  Electronic ISBN: 978-0-8218-7617-6 Product Code: CONM/32.E  List Price:$51.00 MAA Member Price: $45.90 AMS Member Price:$40.80
• 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.

• 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 ]
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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 ]
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