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

• H. Alexander -- Capacities in \(C^n\)
• G. Allan -- Holomorphic left-inverse functions
• B. Aupetit -- Geometry of pseudoconvex open sets and distribution of values of analytic multivalued functions
• J. Bachar -- Some results on range transformations between function spaces
• W. Bade -- Recent results in the ideal theory of radical convolution algebras
• W. Bade and P. Curtis -- Module derivations from commutative Banach algebras
• F. Bonsall -- Criteria for boundedness and compactness of Hankel operators
• H. Dales -- Algebra and topology in Banach algebras
• J. Esterle -- Mittag-Leffler methods in the theory of Banach algebras and a new approach to Michael's problem
• I. Glicksberg -- Orthogonal and representing measures
• B. Kramm -- Nuclearity (resp. Schwartzity) helps to embed holomorphic structure into spectra
• D. Kumagai -- Maximum modulus algebras and multi-dimensional analytic structure
• K. Laursen -- Central factorization in \(C^*\)-algebras and its use in automatic continuity
• J. McClure -- Nonstandard ideals and approximations in primary weighted \(\ell^1\)-algebras
• A. O'Farrell, K. Preskenis, and D. Walsh -- Holomorphic approximation in Lipschitz norms
• M. Rajagopalan and P. Ramakrishnan -- Uses of \(\beta S\) in invariant means and extremely left amenable semigroups
• R. Rochberg -- Deformation theory for uniform algebras: An introduction
• W. Rudin -- Nevanlinna's interpolation theorem revisited
• S. Sakai -- Unbounded derivations in \(C^*\)-algebras and statistical mechanics
• D. Sarason -- Remotely almost periodic functions
• Z. Slodkowski -- Analytic multifunctions, \(q\)-plurisubharmonic functions and uniform algebras
• E. Stout -- Algebraic domains in Stein manifolds
• J. Wada -- Sets of best approximations to elements in certain function spaces
• J. Wermer -- Green's functions and polynomial hulls
• B. Yood -- Continuous homomorphisms and derivations on Banach algebras
• W. Zame -- The maximal ideal space of a commutative Banach algebra