Linear Functional Analysis
An Application-Oriented Introduction
Alt, Hans Wilhelm.
creator
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
text
xxk
2016
monographic
eng
access
XII, 435 p. 19 illus. online resource.
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.
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.
by Hans Wilhelm Alt.
Functional analysis
Differential equations, partial
Functional Analysis
Partial Differential Equations
QA319-329.9
515.7
Springer eBooks
Universitext
9781447172802
https://doi.org/10.1007/978-1-4471-7280-2
https://doi.org/10.1007/978-1-4471-7280-2
ISI Library, Kolkata
160706
20181204134227.0
978-1-4471-7280-2