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Theory of Linear Operations

1st Edition, Volume 38 - March 1, 1987

Author: S. Banach

Language: English
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 8 8 7 2 0 - 3

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… Read more

Theory of Linear Operations

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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.