Linear Functional Analysis An Application-Oriented Introduction /
This book gives an introduction to Linear Functional Analysis, a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exerci...
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| Language: | English |
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London :
Springer London : Imprint: Springer,
2016.
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| Edition: | 1st ed. 2016. |
| Series: | Universitext,
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| Online Access: | https://doi.org/10.1007/978-1-4471-7280-2 |
Table of Contents:
- Introduction
- Preliminaries
- Function spaces
- Subsets of function spaces
- Linear operators
- Linear functionals
- Uniform boundedness principle
- Weak convergence
- Finite-dimensional approximation
- Compact operators
- Spectrum of compact operators
- Self-adjoint operators
- References
- Symbols
- Index.