Topological Vector Spaces and Their Applications

• Main Authors: Bogachev, V.I (Author), Smolyanov, O.G (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Functional analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Measure theory.; Probabilities.; Functional Analysis.; Global Analysis and Analysis on Manifolds.; Measure and Integration.; Probability Theory and Stochastic Processes.

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....

Table of Contents:

• 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.