Functional analysis

Höfundar: AUTHOR, UNKNOWN (Útgáfa: 0)
Functional analysis

Kaup valmöguleikar

Functional analysis

Nánar um bókina

Útgefandi
Elsevier S & T
ISBN
9780122132506
Print ISBN
9780122132506
Format
Page Fidelity (PDF)
Útgáfa
0
Höfundar
AUTHOR, UNKNOWN
Tungumál
English
Útgefið
11/1978
Prent takmörkun á líftíma
10
Prent takmörkun
10
Afritunar takmörkun
10

Kaflar

  • Contents
  • Preface
  • Chapter 1. Preliminaries
  • 1. Norms on a Vector Space
  • 2. Finite Dimensional Normed Spaces
  • 3. Infinite Dimensional Spaces. Hamel and Schauder Bases
  • Chapter 2. Operator Theory
  • 1. Compact Linear Operators
  • 2. Riesz Theory and Complementary Subspaces
  • 3. The Open-Mapping Theorem
  • 4. Quotient Spaces of l1
  • 5. The Closed Graph Theorem
  • Chapter 3. Linear Functionals
  • 1. Special Subspaces of Ia and l1. The Dual Space
  • 2. The Hahn–Banach Theorem
  • 3. The Banach–Steinhaus Theorem
  • 4. The Completion of a Normed Space. Reflexive Banach Spaces
  • Chapter 4. The Weak Topology
  • 1. Topology from a Family of Seminorms
  • 2. Sets Which Define Seminorms
  • 3. Locally Convex Spaces. Kolmogorov's Theorem
  • 4. The Hahn–Banach Theorem. Reflexive Banach Spaces
  • Chapter 5. More about Weak Topologies
  • 1. Dual Spaces and the Krien–Milman Theorem
  • 2. The Eberlein–Smulian Theorem
  • Chapter 6. Applications to Analysis
  • 1. Applications to Trigonometric Series
  • 2. Miscellaneous Applications
  • Chapter 7. The Theory of Distributions
  • 1. Some Function Spaces. Partitions of Unity
  • 2. Fréchet Spaces
  • 3. The Fourier Transform
  • 4. Distributions: Definition and Characterizations
  • 5. Distributions: Examples. Properties, and Applications
  • Appendix A: Solutions to Starred Problems in Chapters 1–4
  • Appendix B: Reflexive Banach Spaces
  • References
  • Index