Theory of linear operations
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....
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| Format: | eBook |
| Language: | English |
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Amsterdam
North-Holland
1987, 1987
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| Series: | North-Holland mathematical library
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| Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
| 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 |
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| Item Description: | Translation of: Théorie des opérations linéaires |
| Physical Description: | x, 237 pages |
| ISBN: | 9780444701848 0444701842 9780080887203 |