Topological Vector Spaces and Their Applications
Bogachev, V.I.
creator
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Smolyanov, O.G.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
text
gw
2017
monographic
eng
access
X, 456 p. online resource.
This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. In addition, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.
1. Introduction to the theory of topological vector spaces -- 2. Methods of constructing topological vector spaces -- 3. Duality -- 4. Differential calculus -- 5.Measures on linear spaces.
by V.I. Bogachev, O.G. Smolyanov.
Functional analysis
Global analysis
Mathematics
Distribution (Probability theory
Functional Analysis
Global Analysis and Analysis on Manifolds
Measure and Integration
Probability Theory and Stochastic Processes
QA319-329.9
515.7
Springer eBooks
Springer Monographs in Mathematics
9783319571171
https://doi.org/10.1007/978-3-319-57117-1
https://doi.org/10.1007/978-3-319-57117-1
ISI Library, Kolkata
170518
20181204134418.0
978-3-319-57117-1