TY  - BOOK
AU  - Alt,Hans Wilhelm
ED  - SpringerLink (Online service)
TI  - Linear Functional Analysis: An Application-Oriented Introduction 
T2  - Universitext,
SN  - 9781447172802
AV  - QA319-329.9 
U1  - 515.7 23
PY  - 2016///
CY  - London
PB  - Springer London, Imprint: Springer
KW  - Functional analysis
KW  - Differential equations, partial
KW  - Functional Analysis
KW  - Partial Differential Equations
N1  - 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
N2  - 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 exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations
UR  - https://doi.org/10.1007/978-1-4471-7280-2
ER  -