Theory of Linear Operations
( Volume 38 )
Publication series ：Volume 38
Publisher： Elsevier Science
Publication year： 1987
E-ISBN: 9780080887203
P-ISBN(Paperback): 9780444701848
P-ISBN(Hardback): 9780444701848
Subject： O177.2 Banach space and linear operator theory
Language： ENG
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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 a
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.