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- catalog contributor b11613248.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "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.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "xiv, 280 p. ;".
- catalog identifier "0521653754 (pbk.)".
- catalog isPartOf "Australian Mathematical Society lecture series ; 13".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Cambridge University Press,".
- catalog subject "515/.732 21".
- catalog subject "Mathematical analysis.".
- catalog subject "Normed linear spaces.".
- catalog subject "QA322.2 .G55 1999".
- catalog tableOfContents "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.".
- catalog title "An introduction to the analysis of normed linear spaces / J.R. Giles.".
- catalog type "text".