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A first course in functional analysis : theory and applications /
A comprehensive introduction to functional analysis, beginning with the fundamentals and extending into theory and applications. The volume starts with an introduction to sets and metric spaces and the notions of convergence, completeness and compactness, and continues to a detailed treatment of nor...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
London ; New York :
Anthem Press,
2013.
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| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Preliminaries
- Normed linear spaces
- Hilbert space
- Linear operators
- Linear functions
- Space of bounded linear functionals
- Closed graph theorem and its consequences
- Compact operators on normed linear spaces
- Elements of spectral theory of self-adjoint operators in Hilbert spaces
- Measures and integration in Lp[subscript] spaces
- Unbounded linear operators
- The Hahn-Banach theorem and optimization problems
- Variational problems
- The wavelet analysis
- Dynamical systems.