| Document Type
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BL
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| Record Number
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705906
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| Doc. No
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b528095
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| Main Entry
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Giles, J. R., (John R.),1933-
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| Title & Author
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Introduction to the analysis of normed linear spaces /\ J.R. Giles
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| Publication Statement
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Cambridge ;New York :: Cambridge University Press,, 2000
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| Series Statement
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Australian mathematical society lecture series ;; 13
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| Page. NO
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xiv, 280 pages :: illustrations ;; 23 cm
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| ISBN
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0521653754
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: 9780521653756
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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Ch. 1. Normed Linear Space Structure and Examples -- 1. Basic properties of normed linear spaces -- 2. Classes of example spaces -- 3. Orthonormal sets in inner product spaces -- Ch. II. Spaces of Continuous Linear Mappings -- 4. Norming mappings and forming duals and operator algebras -- 5. The shape of the dual -- Ch. III. The Existence of Continuous Linear Functionals -- 6. The Hahn-Banach Theorem -- 7. The natural embedding and reflexivity -- 8. Subreflexivity -- Ch. IV. The Fundamental Mapping Theorems for Banach Spaces -- 9. Baire category theory for metric spaces -- 10. The Open Mapping and Closed Graph Theorems -- 11. The Uniform Boundedness Theorem -- Ch. V. Types of Continuous Linear Mappings -- 12. Conjugate mappings -- 13. Adjoint operators on Hilbert space -- 14. Projection operators -- 15. Compact operators -- Ch. VI. Spectral Theory -- 16. The spectrum -- 17. The spectrum of a continuous linear operator -- 18. The spectrum of a compact operator -- 19. The Spectral Theorem for compact normal operators on Hilbert space -- 20. The Spectral Theorem for compact operators on Hilbert space -- App. A.1. Zorn's Lemma -- App. A.2. Numerical equivalence -- App. A.3. Hamel basis
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| Subject
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Mathematical analysis
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| Subject
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Normed linear spaces
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| Dewey Classification
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515/.732
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| LC Classification
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QA322.2.G55 2000
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