| 书目名称 | Several Complex Variables and Banach Algebras |
| 编辑 | Herbert Alexander,John Wermer |
| 视频video | |
| 概述 | Includes a wealth of new material developed since the previous edition.Raises new questions and new methods of proofs in function theory.The authors are well known and have written other Springer titl |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | 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. have led to new questions and to new methods of proofs in function theory. 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 topolo |
| 出版日期 | Textbook 1998Latest edition |
| 关键词 | Banach algebra; Cohomology; Pseudoconvexity; algebra; maximum; subharmonic function |
| 版次 | 3 |
| doi | https://doi.org/10.1007/b97591 |
| isbn_softcover | 978-1-4757-7163-3 |
| isbn_ebook | 978-0-387-22586-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Science+Business Media New York 1998 |
发表于 2025-3-21 17:00:27
