ENGLISH

Theory of Linear Operations

By S. Banach

Book information

Publisher
North Holland
Year
1987
ISBN
0444701842, 9780444701848
Language
english
Format
DJVU
Filesize
5 MB (5701581 bytes)
Series
North-Holland Mathematical Library, Volume 38
Edition
1
Pages
248\246
Time added
2013-11-25 13:58:49

Description

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 a1x1 + a2x2 + ... + anxn 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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