Contemporary Mathematics 1985; 295 pp; softcover Volume: 32 ISBN10: 0821850342 ISBN13: 9780821850343 List Price: US$48 Member Price: US$38.40 Order Code: CONM/32
 These proceedings result from a conference on Banach Algebras and Several Complex Variables held June 2124, 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 leftinverse 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  MittagLeffler 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 multidimensional 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
