Theory of linear operations
Banach, Stefan, 1892-1945.
Theory of linear operations [electronic resource] / S. Banach ; English translation by F. Jellett. - 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. - 1 online resource (x, 237 p.) - North-Holland mathematical library ; v. 38 . - North-Holland mathematical library ; v. 38. .
Translation of: Th�eorie des op�erations lin�eaires.
Includes bibliographical references (p. 217-237).
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.
9780444701848 0444701842
124932:122770 Elsevier Science & Technology http://www.sciencedirect.com
Banach spaces.
Banach, Espaces de.
Banach spaces.
Electronic books.
QA322.2 / .B2813 1987eb
515.7/32
Theory of linear operations [electronic resource] / S. Banach ; English translation by F. Jellett. - 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. - 1 online resource (x, 237 p.) - North-Holland mathematical library ; v. 38 . - North-Holland mathematical library ; v. 38. .
Translation of: Th�eorie des op�erations lin�eaires.
Includes bibliographical references (p. 217-237).
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.
9780444701848 0444701842
124932:122770 Elsevier Science & Technology http://www.sciencedirect.com
Banach spaces.
Banach, Espaces de.
Banach spaces.
Electronic books.
QA322.2 / .B2813 1987eb
515.7/32
