TY  - BOOK
AU  - Banach,Stefan
TI  - Theory of linear operations
T2  - North-Holland mathematical library
SN  - 9780444701848
AV  - QA322.2 .B2813 1987eb
U1  - 515.7/32 22
PY  - 1987///
CY  - Amsterdam, New York, New York, N.Y., U.S.A.
PB  - North-Holland, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
KW  - Banach spaces
KW  - Banach, Espaces de
KW  - fast
KW  - Electronic books
N1  - Translation of: Th�eorie des op�erations lin�eaires; Includes bibliographical references (p. 217-237)
N2  - 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
UR  - http://www.sciencedirect.com/science/book/9780444701848
UR  - http://www.sciencedirect.com/science/publication?issn=09246509&volume=38
ER  -