Functional Analysis Lectures (Volume 2)

Author: Zhang Gongqing
Publisher:
Publish Date: 2003-09-01
Features: This is a textbook on functional analysis that systematically introduces the fundamentals of linear operator theory, operator semigroups, and Wiener measures on continuous function spaces, as well as Gauss measures on Hilbert spaces. The book is divided into four chapters: Banach algebras; unbounded operators; operator semigroups; and measure theory in infinite-dimensional spaces. It emphasizes the close connection between functional analysis theory and other branches of mathematics, providing abundant examples and applications to cultivate readers' ability to solve problems using functional analysis methods. This book is suitable for senior undergraduate and graduate students in mathematics and applied mathematics departments of science and engineering universities, as well as for general educators, physicists, and scientific and technological personnel as a reference.