Theory of operators
By: V.A. Sadovnichiĭ ; translated from  Russian by Roger Cooke.
Edition: Second Edition
Series: Contemporary Soviet mathematics
Publisher: Consultants Bureau
Published: 1991
Place of publication: New York
Language: eng
Format: Hardcover
Number of pages: 410
ISBN-13: 9780306110283
Copyright date: ©1991
Subjects: Operator theory.
Other titles: Teorii͡a︡ operatorov.
First sentence: A set is a collection of objects having a given property.
Notes: Includes bibliographical references (p. 387-388) and index.
Translation of: Teorii͡a︡ operatorov. 2nd ed.
Table of contents: title: - Metric and Topological Spaces; title: - Elementary Concepts of Set Theory; title: - Metric Spaces; title: - Properties of Metric Spaces; title: - Topological Spaces; title: - Properties of Topological Spaces; title: - Vector Spaces; title: - Topological Vector Spaces; title: - Bounded Linear Transformations on Banach and F-Spaces. Basic Principle of Functional Analysis; title: - Measure Theory. Measurable Functions and Integration; title: - Measure Theory; title: - Measurable Functions; title: - The Lebesgue Integral; title: - Absolutely Continuous Set Functions. The Radon-Nikodym Theorem; title: - Product Measures. Fubini's Theorem; title: - The Geometry of Hilbert Space. The Spectral Theory of Operators; title: - Hilbert Spaces; title: - Spectral Theorems; title: - Operator Equations. Analytic Functions and Operators; title: - The Trace of an Operator; title: - The Trace Theorem for an Operator in n-Dimensional Space; title: - Nuclear Operators. The Trace Theorem; title: - Regular Sums of Zeros of a Class of Entire Functions. The Trace of a Differential Operator; title: - The Trace of a Discrete Operator; title: - Distributions. The Fourier Transform; title: - Distributions; title: - The Fourier Transform; title: - References; title: - Index