Modern Methods in Topological Vector Spaces (Dover Books on Mathema 1.4tics)

Book Details:

• Publisher: Dover

• Author: Albert Wilansky

• Language: English

• Edition: Reprint

• ISBN: 9780486493534

• Pages: 316

• Binding: Paperback

• Release Date: 20-11-2013

• Package Dimensions: 9.3 x 6.1 x 0.7 inches

About The Book:

Introduction to the Theory of Topological Vector Spaces by Albert Wilansky is an authoritative text designed for advanced undergraduates and beginning graduate students of mathematics. Geared toward those studying topological vector spaces, the book offers a thorough examination of the properties essential for researchers in classical analysis, differential and integral equations, distributions, summability, and classical Banach and Frechét spaces.

The text is organized into extensive introductory chapters that cover key topics such as metric ideas, Banach spaces, topological vector spaces, and the foundational theorems of open mapping and closed graph. It also introduces advanced concepts like duality, completeness theorems, inductive limits, weak compactness, and more.

Each chapter is concluded with a rich selection of problems, many of which are accompanied by hints and references to deepen students' understanding. The book also includes more than 30 black-and-white tables at the end for quick reference to important theorems and counterexamples, enhancing its utility as both a textbook and a reference guide.

Wilansky’s clear, methodical approach makes this book an indispensable resource for students looking to grasp the intricate concepts of topological vector spaces and their applications across various branches of mathematical analysis.