Functional analysis: An introduction
โ Ronald Larsen
๐ Library
๐
1973
๐ Dekker
๐ English
โฆ LIBER โฆ
๐
Functional Analysis: An Introduction
โ Scribed by Yuli Eidelman, Vitali Milman, Antonis Tsolomitis
- Publisher
- American Mathematical Society
- Year
- 2004
- Tongue
- English
- Leaves
- 171
- Series
- Graduate Studies in Mathematics
- Category
- Library
โฌ Acquire This Volume
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โฆ Synopsis
This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded self-adjoint operators.
The text corresponds to material for two semester courses (Part I and Part II, respectively) and is essentially self-contained. Prerequisites for the first part are minimal amounts of linear algebra and calculus. For the second part, some knowledge of topology and measure theory is recommended. Each of the 11 chapters is followed by numerous exercises, with solutions given at the end of the book.
The text is ideal for a one-year course. It will also provide a sound basis for further study. It is suitable for graduate students and researchers interested in operator theory and functional analysis.
๐ SIMILAR VOLUMES
Functional Analysis: An Introduction
โ Yuli Eidelman, Vitali Milman, Antonis Tsolomitis
๐ Library
๐
2004
๐ American Mathematical Society
๐ English
This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applica
Functional analysis: An introduction
โ Yuli Eidelman, Vitali Milman, Antonis Tsolomitis
๐ Library
๐
2004
๐ American Mathematical Society
๐ English
Functional analysis: an introduction
โ Yuli Eidelman, Vitali Milman, Antonis Tsolomitis
๐ Library
๐
2004
๐ American Mathematical Society
๐ English
The goal of this textbook is to provide an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis
Functional Analysis An Introduction
โ Yuli Eidelman, Vitali Milman, Antonis Tsolomitis
๐ Library
๐
2004
๐ American Mathematical Society
๐ English
An Introduction to Functional Analysis
โ Charles Swartz
๐ Library
๐
1992
๐ CRC Press
๐ English
Based on an introductory, graduate-level course given by Swartz at New Mexico State U., this textbook, written for students with a moderate knowledge of point set topology and integration theory, explains the principles and theories of functional analysis and their applications, showing the interpla