عنوان

Introduction to the analysis of normed linear spaces /

(Number (ISBN

0521653754

(Number (ISBN

9780521653756

Number

b528095

Title Proper

Introduction to the analysis of normed linear spaces /

General Material Designation

[Book]

First Statement of Responsibility

J.R. Giles

Place of Publication, Distribution, etc.

New York :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2000

Specific Material Designation and Extent of Item

xiv, 280 pages :

Other Physical Details

illustrations ;

Dimensions

23 cm

Series Title

Australian mathematical society lecture series ;

Volume Designation

13

Text of Note

Includes bibliographical references and index

Text of Note

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

0

Mathematical analysis

Normed linear spaces

Number

Edition

Class number

Book number

Giles, J. R., (John R.),1933-

Date of Transaction

20160712071612.0

Electronic name

[Book]

Y