Name: Elements of Functional Analysis By I. J. Maddox
SKU: 9780521358682
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Elements of Functional Analysis Summary

Elements of Functional Analysis by I. J. Maddox

The second edition of this successful textbook, first published in 1970, retains the aims of the first, namely to provide a truly introductory course in functional analysis, but the opportunity has been taken to add more detail and worked examples. The main changes are complete revisons of the work on convex sets, metric and topological linear spaces, reflexivity and weak convergence. Additional material on the Weiner algebra of absolutely convergent Fourier series and on weak topologies is included. A final chapter includes elementary applications of functional analysis to differential and integral equations.

Preface to the second edition; Preface to the first edition; Part I. Basic Set Theory and Analysis: 1. Sets and functions; 2. Real and complex numbers; 3. Sequences of functions, continuity, differentiability; 4. Inequalities; Part II. Metric and Topological Spaces: 1. Metric and semimetric spaces; 2. Complete metric spaces; 3. Some metric and topological concepts; 4. Continuous functions on metric and topological spaces; 5. Compact sets; 6. Category and uniform boundedness; Part III. Linear and Linear Metric Spaces: 1. Linear spaces; 2. Subspaces, dimensionality, factorspaces, convex sets; 3. Metric linear spaces, topological linear spaces; 4. Basis; Part IV. Normed Linear Spaces: 1. Convergence and completeness; 2. Linear operators and functionals; 3. The Banach-Steinhaus theorem; 4. The open mapping and closed graph theorems; 5. The Hahn-Banach extension; 6. Weak topology and weak convergence; Part V. 1. Algebras and Banach algebras; 2. Homomorphisms and isomorphisms; 3. The spectrum and the Gelfand-Mazaur theorem; 4. The Weiner algebra; Part VI. Hilbert Space: 1. Inner product and Hilbert spaces; 2. Orthonormal sets; 3. The dual space of a Hilbert space; 4. Symmetric and compact operators; Part VII. Applications: 1. Differential and integral problems; 2. The Sturm-Liouville problem; 3. Matrix transformations in sequence spaces; Appendix; Bibliography; Index.

Additional information

Sku

NPB9780521358682

ISBN 13

9780521358682

ISBN 10

052135868X

Title

Elements of Functional Analysis by I. J. Maddox

Author

I. J. Maddox

Condition

New

Binding type

Paperback

Publisher

Cambridge University Press

Year published

1989-01-26

Number of pages

256

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Elements of Functional Analysis I. J. Maddox

Elements of Functional Analysis by I. J. Maddox

Summary

Elements of Functional Analysis Summary

Elements of Functional Analysis by I. J. Maddox

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