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....
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| Format: | eBook |
| Language: | English |
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Amsterdam
North-Holland
1987, 1987
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| Series: | North-Holland mathematical library
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| Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
Table of Contents:
- 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
- Includes bibliographical references (pages 217-237)