Topological Vector SpacesCRC Press, 26 de jul. de 2010 - 628 páginas With many new concrete examples and historical notes, Topological Vector Spaces, 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 v |
Conteúdo
| 1 | |
Chapter 2 Commutative Topological Groups | 19 |
Chapter 3 Completeness | 47 |
Chapter 4 Topological Vector Spaces | 67 |
Chapter 5 Locally Convex Spaces and Seminorms | 115 |
Chapter 6 Bounded Sets | 155 |
Chapter 7 HahnBanach Theorems | 177 |
Chapter 8 Duality | 225 |
Chapter 11 Barreled Spaces | 371 |
Chapter 12 Inductive Limits | 425 |
Chapter 13 Bornological Spaces | 441 |
Chapter 14 Closed Graph Theorems | 459 |
Chapter 15 Reflexivity | 485 |
Chapter 16 Norm Convexities and Approximation | 519 |
Bibliography | 555 |
Back cover | 591 |
Chapter 9 KreinMilman and BanachStone | 275 |
Chapter 10 VectorValued HahnBanach Theorems | 341 |
Outras edições - Ver todos
Topological Vector Spaces, Second Edition Lawrence Narici,Edward Beckenstein Prévia não disponível - 2010 |
Termos e frases comuns
absorbent algebraic Baire balanced Banach space barreled base basis bornological bounded bounded sets called Cauchy choose Clearly closed collection compact complete condition Consequently consider contains continuous linear functional convergence countable defined Definition denote dense determined direct disk dual element equicontinuous equivalent Example Exercise exists extension extension property extreme points filterbase finite follows functional f given Hausdorff space Hence homeomorphism implies inductive intersection isometry LCHS limit linear map linear space linearly locally convex Math maximal metric neighborhood nonempty normed space notation pair pointwise polar positive Proof prove pseudometrizable reflexive relatively respectively result satisfies scalars seminorm separating sequence statement subset subspace sufficiently suppose surjective Theorem topological group topology totally bounded unique unit ball vector space weak weakly