Theory of Linear Operations, Volume 38 (North-Holland Mathematical Library) by S. Banach



Theory of Linear Operations, Volume 38 (North-Holland Mathematical Library) by S. Banach
Publisher: North Holland; 1 edition (March 15, 1987) | ISBN: 0444701842 | Pages: 248 | DJVU | 1.95 mb

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.


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