Functional Analysis: A First Course (Revised Edition)

Author: Liu Peide (Editor) / Country:
Publisher:
Publish Date: 2001-11-01
Features: This book concisely presents the fundamental theories of linear functional analysis. The entire book is divided into five chapters, covering the axiomatic system of metric spaces and point set topology, the basic theorems of bounded linear operators and bounded linear functionals, adjoint spaces and adjoint operators, the geometry of Hilbert spaces, and the spectral theory of bounded linear operators. The book emphasizes the general theory of spaces and operators; the material is both concise and in-depth. While highlighting the basic theoretical framework, it also selectively discusses its applications in several areas. This book can serve as a textbook for senior undergraduate students in teaching departments or as a reference book for teaching. It can also be used as a textbook for master's students in applied mathematics, physics, and related disciplines, as well as a reference for teachers and researchers.