Stefan Banach Theory of Linear Operations

ISBN 13 : 9780486469836

Theory of Linear Operations

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9780486469836: Theory of Linear Operations

Book by Banach Stefan Mathematics

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Présentation de l'éditeur :

This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a 1 x 1 + a 2 x 2 + ... + a n x n of algebra.

The book gathers results concerning linear operators defined in general spaces of a certain kind, principally in Banach spaces, examples of which are: the space of continuous functions, that of the p th-power-summable functions, Hilbert space, etc. The general theorems are interpreted in various mathematical areas, such as group theory, differential equations, integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods and orthogonal series.

A new fifty-page section (``Some Aspects of the Present Theory of Banach Spaces'') complements this important monograph.

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Banach, Stefan/ Gellett, F. (TRN)
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Stefan Banach
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Stefan Banach
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Description du livre Dover Publications Inc., United States, 2009. Paperback. État : New. Dover.. 208 x 135 mm. Language: English . Brand New Book. Created by the founder of modern functional analysis, this is the first text on the theory of linear operators, written in 1932 and translated into English in 1987. Author Stefan Banach s numerous mathematical achievements include his theory of topological vector spaces as well as his contributions to measure theory, integration, and orthogonal series. In this volume, he articulates the theory of linear operators in terms of its aesthetic value, in addition to expressing the scope of its arguments and exploring its many applications. The author focuses on results concerning linear operators defined principally in Banach spaces. He interprets general theorems in a variety of areas, including group theory, differential and integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods, and orthogonal series. In addition to his use of algebraic tools, Banach employs the methods of general set theory. Extensive supplementary material on the theory of Banach spaces appears at the end of the text. Suitable for advanced undergraduate and graduate courses, this classic is recommended for all students of applied functional analysis. N° de réf. du libraire AAC9780486469836

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Stefan Banach
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Description du livre Dover Publications Inc., United States, 2009. Paperback. État : New. Dover.. 208 x 135 mm. Language: English . Brand New Book. Created by the founder of modern functional analysis, this is the first text on the theory of linear operators, written in 1932 and translated into English in 1987. Author Stefan Banach s numerous mathematical achievements include his theory of topological vector spaces as well as his contributions to measure theory, integration, and orthogonal series. In this volume, he articulates the theory of linear operators in terms of its aesthetic value, in addition to expressing the scope of its arguments and exploring its many applications. The author focuses on results concerning linear operators defined principally in Banach spaces. He interprets general theorems in a variety of areas, including group theory, differential and integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods, and orthogonal series. In addition to his use of algebraic tools, Banach employs the methods of general set theory. Extensive supplementary material on the theory of Banach spaces appears at the end of the text. Suitable for advanced undergraduate and graduate courses, this classic is recommended for all students of applied functional analysis. N° de réf. du libraire AAC9780486469836

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Mathematics
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Description du livre Dover Publications. Paperback. État : New. Paperback. 254 pages. Dimensions: 8.2in. x 5.3in. x 0.6in.Created by the founder of modern functional analysis, this is the first text on the theory of linear operators, written in 1932 and translated into English in 1987. Author Stefan Banachs numerous mathematical achievements include his theory of topological vector spaces as well as his contributions to measure theory, integration, and orthogonal series. In this volume, he articulates the theory of linear operators in terms of its aesthetic value, in addition to expressing the scope of its arguments and exploring its many applications. The author focuses on results concerning linear operators defined principally in Banach spaces. He interprets general theorems in a variety of areas, including group theory, differential and integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods, and orthogonal series. In addition to his use of algebraic tools, Banach employs the methods of general set theory. Extensive supplementary material on the theory of Banach spaces appears at the end of the text. Suitable for advanced undergraduate and graduate courses, this classic is recommended for all students of applied functional analysis. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. N° de réf. du libraire 9780486469836

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