TY  - BOOK
AU  - Alt,Hans Wilhelm
AU  - Nurnberg,Robert
TI  - Linear functional analysis: an application-oriented introduction 
T2  - Universitext  
SN  - 9781447172796 
U1  - 515.7 23
PY  - 2016///
CY  - London : 
PB  - Springer-Verlag
KW  - Functional analysis.
KW  - Linear operators.
N1  - Includes bibliographical references and index; 1. Introduction.- 
2. Preliminaries.- 
3. Function spaces.- 
4. Subsets of function spaces.- 
5. Linear operators.- 
6. Linear functionals.- 
7. Uniform boundedness principle.- 
8. Weak convergence.- 
9. Finite-dimensional approximation.- 
10. Compact operators.- 
11. Spectrum of compact operators.- 
12. Self-adjoint operators.- 
References.- 
Symbols.- 
Index
N2  - This book gives an introduction to Linear Functional Analysis, which is 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 exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory
ER  -