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