Theory of linear operations [electronic resource] / S. Banach ; English translation by F. Jellett.
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TextLanguage: engfre Series: North-Holland mathematical library ; v. 38.Publication details: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987. Description: 1 online resource (x, 237 p.)ISBN: 9780444701848; 0444701842Uniform titles: Th�eorie des op�erations lin�eaires. English Subject(s): Banach spaces | Banach, Espaces de | Banach spacesGenre/Form: Electronic books.Additional physical formats: Print version:: Theory of linear operations.DDC classification: 515.7/32 LOC classification: QA322.2 | .B2813 1987ebOnline resources: ScienceDirect | Volltext Summary: 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 1x1 + a 2x2 + ... + a nxn 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 pth-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.
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 1x1 + a 2x2 + ... + a nxn 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 pth-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.
Translation of: Th�eorie des op�erations lin�eaires.
Includes bibliographical references (p. 217-237).
Description based on print version record.
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