Proceedings of the Conference on Banach Algebras and Several Complex Variables
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Volume: Publication Month and Year: Copyright Year: Page Count: Cover Type: Softcover. Print ISBN Online ISBN With Free Saver Delivery. Facebook Twitter Pinterest Share. Description Reviews More Details. 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. Account Options Sign in. Top charts. New arrivals.
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Herbert Alexander John Wermer January 17, Many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. While function theory has often been employed to answer algebraic questions such as the existence of idempotents in a Banach algebra, concepts arising from the study of Banach algebras including the maximal ideal space, the Silov boundary, Geason parts, etc. This book is concerned with developing some of the principal applications of function theory in several complex variables to Banach algebras.
The authors do not presuppose any knowledge of several complex variables on the part of the reader and all relevant material is developed within the text.
Furthermore, the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. The third edition of this book contains new material on; maximum modulus algebras and subharmonicity, the hull of a smooth curve, integral kernels, perturbations of the Stone-Weierstrass Theorem, boundaries of analytic varieties, polynomial hulls of sets over the circle, areas, and the topology of hulls.
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Continue the series. See more. Book During the past twenty years many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras.
On the one hand, function theory has been used to answer algebraic questions such as the question of the existence of idempotents in a Banach algebra. On the other hand, concepts arising from the study of Banach algebras such as the maximal ideal space, the Silov boundary, Gleason parts, etc. Roughly one third of this book isconcerned with developing some of the principal applications of function theory in several complex variables to Banach algebras. We presuppose no knowledge of severalcomplex variables on the part of the reader but develop the necessary material from scratch.go
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The remainder of the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. Throughout, our aim has been to make the exposition elementary and self-contained. We have cheerfully sacrificed generality and completeness all along the way in order to make it easier to understand the main ideas.
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