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Theory of linear operations /
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....
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Francés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1987.
|
| Colección: | North-Holland mathematical library ;
v. 38. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 008 | 090320s1987 ne ob 000 0 eng d | ||
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| 100 | 1 | |a Banach, Stefan, |d 1892-1945. | |
| 240 | 1 | 0 | |a Th�eorie des op�erations lin�eaires. |l English |
| 245 | 1 | 0 | |a Theory of linear operations / |c S. Banach ; English translation by F. Jellett. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1987. | ||
| 300 | |a 1 online resource (x, 237 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematical library ; |v v. 38 | |
| 520 | |a 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. | ||
| 500 | |a Translation of: Th�eorie des op�erations lin�eaires. | ||
| 504 | |a Includes bibliographical references (pages 217-237). | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Theory of Linear Operations; Copyright Page; Preface; Contents; Introduction A. The Lebesgue-Stieltjes Integral; B. (B)-Measurable sets and operators in metric spaces; Chapter I. Groups; Chapter II. General vector spaces; Chapter III. F-spaces; Chapter IV. Normed spaces; Chapter V. Banach spaces; Chpter VI. Compact operators; Chapter VII. Biorthogonal sequences; Chapter VIII. Linear functionals; Chapter IX . Weakly convergent sequences; Chapter X. Linear functional equations; Chapter XI. Isometry, equivalence, isomorphism; Chapter XII. Linear dimension. | |
| 650 | 0 | |a Banach spaces. | |
| 650 | 6 | |a Espaces de Banach. |0 (CaQQLa)201-0004428 | |
| 650 | 7 | |a MATHEMATICS |x Transformations. |2 bisacsh | |
| 650 | 7 | |a Banach spaces. |2 fast |0 (OCoLC)fst00826389 | |
| 653 | |a Mathematics |a Linear operators | ||
| 776 | 0 | 8 | |i Print version: |a Banach, Stefan, 1892-1945. |s Th�eorie des op�erations lin�eaires. English. |t Theory of linear operations. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987 |z 0444701842 |z 9780444701848 |w (DLC) 87129863 |w (OCoLC)15533781 |
| 830 | 0 | |a North-Holland mathematical library ; |v v. 38. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444701848 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=09246509&volume=38 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/09246509/38 |z Texto completo |