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With many new concrete examples and historical notes, this second edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem. This edition explores the theorem's connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes an entirely new chapter on vector-valued Hahn-Banach theorems. It also considers different approaches to the Banach-Stone theorem as well as variations of the theorem. The authors trace the development of various theorems and chronicle the lives of key mathematicians, such as Stefan Banach and Eduard Helly.
With many new concrete examples and historical notes, this second edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem. This edition explores the theorem's connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes an entirely new chapter on vector-valued Hahn-Banach theorems. It also considers different approaches to the Banach-Stone theorem as well as variations of the theorem. The authors trace the development of various theorems and chronicle the lives of key mathematicians, such as Stefan Banach and Eduard Helly.
Lawrence Narici and Edward Beckenstein are professors of mathematics at St. John's University in New York.
Background. Commutative Topological Groups. Completeness. Topological Vector Spaces. Locally Convex Spaces and Seminorms. Bounded Sets. Hahn-Banach Theorems. Duality. Krein-Milman and Banach-Stone Theorems. Vector-Valued Hahn-Banach Theorems. Barreled Spaces. Inductive Limits. Bornological Spaces. Closed Graph Theorems. Reflexivity. Norm Convexities and Approximation. Bibliography. Index.
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| ISBN-13: | 9781584888666 |
| ISBN-10: | 1584888660 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: |
Narici, Lawrence
Beckenstein, Edward |
| Auflage: | 2. Auflage |
| Hersteller: | Chapman and Hall/CRC |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 240 x 161 x 38 mm |
| Von/Mit: | Lawrence Narici (u. a.) |
| Erscheinungsdatum: | 26.07.2010 |
| Gewicht: | 1,101 kg |
Lawrence Narici and Edward Beckenstein are professors of mathematics at St. John's University in New York.
Background. Commutative Topological Groups. Completeness. Topological Vector Spaces. Locally Convex Spaces and Seminorms. Bounded Sets. Hahn-Banach Theorems. Duality. Krein-Milman and Banach-Stone Theorems. Vector-Valued Hahn-Banach Theorems. Barreled Spaces. Inductive Limits. Bornological Spaces. Closed Graph Theorems. Reflexivity. Norm Convexities and Approximation. Bibliography. Index.
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| ISBN-13: | 9781584888666 |
| ISBN-10: | 1584888660 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: |
Narici, Lawrence
Beckenstein, Edward |
| Auflage: | 2. Auflage |
| Hersteller: | Chapman and Hall/CRC |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 240 x 161 x 38 mm |
| Von/Mit: | Lawrence Narici (u. a.) |
| Erscheinungsdatum: | 26.07.2010 |
| Gewicht: | 1,101 kg |
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