Several Complex Variables and Banach Algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Ausgabe: | Third Edition |
| Schriftenreihe: | Graduate Texts in Mathematics
35 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 topology of hulls. The authors have also included a new chapter containing commentaries on history and recent developments and an updated and expanded reading list |
| Beschreibung: | 1 Online-Ressource (XII, 256 p) |
| ISBN: | 9780387225869 9780387982533 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/b97591 |
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Datensatz im Suchindex
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| author | Alexander, Herbert |
| author_facet | Alexander, Herbert |
| author_role | aut |
| author_sort | Alexander, Herbert |
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| building | Verbundindex |
| bvnumber | BV042419034 |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/b97591 |
| edition | Third Edition |
| format | Electronic eBook |
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| id | DE-604.BV042419034 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:03Z |
| institution | BVB |
| isbn | 9780387225869 9780387982533 |
| issn | 0072-5285 |
| language | English |
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| spelling | Alexander, Herbert Verfasser aut Several Complex Variables and Banach Algebras by Herbert Alexander, John Wermer Third Edition New York, NY Springer New York 1998 1 Online-Ressource (XII, 256 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 35 0072-5285 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 topology of hulls. The authors have also included a new chapter containing commentaries on history and recent developments and an updated and expanded reading list Mathematics Global analysis (Mathematics) Analysis Mathematik Banach-Algebra (DE-588)4193187-7 gnd rswk-swf Mehrere komplexe Variable (DE-588)4169285-8 gnd rswk-swf Komplexe Variable (DE-588)4164905-9 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 s Mehrere komplexe Variable (DE-588)4169285-8 s Banach-Algebra (DE-588)4193187-7 s 1\p DE-604 Funktionentheorie (DE-588)4018935-1 s 2\p DE-604 Komplexe Variable (DE-588)4164905-9 s 3\p DE-604 Wermer, John Sonstige oth https://doi.org/10.1007/b97591 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Alexander, Herbert Several Complex Variables and Banach Algebras Mathematics Global analysis (Mathematics) Analysis Mathematik Banach-Algebra (DE-588)4193187-7 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd Komplexe Variable (DE-588)4164905-9 gnd Funktion Mathematik (DE-588)4071510-3 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| subject_GND | (DE-588)4193187-7 (DE-588)4169285-8 (DE-588)4164905-9 (DE-588)4071510-3 (DE-588)4018935-1 |
| title | Several Complex Variables and Banach Algebras |
| title_auth | Several Complex Variables and Banach Algebras |
| title_exact_search | Several Complex Variables and Banach Algebras |
| title_full | Several Complex Variables and Banach Algebras by Herbert Alexander, John Wermer |
| title_fullStr | Several Complex Variables and Banach Algebras by Herbert Alexander, John Wermer |
| title_full_unstemmed | Several Complex Variables and Banach Algebras by Herbert Alexander, John Wermer |
| title_short | Several Complex Variables and Banach Algebras |
| title_sort | several complex variables and banach algebras |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Banach-Algebra (DE-588)4193187-7 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd Komplexe Variable (DE-588)4164905-9 gnd Funktion Mathematik (DE-588)4071510-3 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Banach-Algebra Mehrere komplexe Variable Komplexe Variable Funktion Mathematik Funktionentheorie |
| url | https://doi.org/10.1007/b97591 |
| work_keys_str_mv | AT alexanderherbert severalcomplexvariablesandbanachalgebras AT wermerjohn severalcomplexvariablesandbanachalgebras |