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Invertibility and Singularity for Bounded Linear Operators Vital Source e-bog
Robin Harte
(2016)
Dover Publications
455,00 kr.
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Invertibility and Singularity for Bounded Linear Operators
Robin Harte
(2016)
Sprog: Engelsk
Dover Publications, Incorporated
394,00 kr.
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Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Dover Publications (November 2016)
- ISBN: 9780486817880
This introduction to functional analysis focuses on the types of singularity that prevent an operator from being invertible. The presentation is based on the open mapping theorem, Hahn-Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. Suitable for advanced undergraduate and graduate courses in functional analysis, this volume is also a valuable resource for researchers in Fredholm theory, Banach algebras, and multiparameter spectral theory. The treatment develops the theory of open and almost open operators between incomplete spaces. It builds the enlargement of a normed space and of a bounded operator and sets up an elementary algebraic framework for Fredholm theory. The approach extends from the definition of a normed space to the fringe of modern multiparameter spectral theory and concludes with a discussion of the varieties of joint spectrum. This edition contains a brief new Prologue by author Robin Harte as well as his lengthy new Epilogue, "Residual Quotients and the Taylor Spectrum." Dover republication of the edition published by Marcel Dekker, Inc., New York, 1988.
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Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: -1 sider kan printes ad gangen
Copy: højest -1 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Paperback: 608 sider
- Udgiver: Dover Publications, Incorporated (November 2016)
- ISBN: 9780486810300
This introduction to functional analysis focuses on the types of singularity that prevent an operator from being invertible. The presentation is based on the open mapping theorem, Hahn-Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. Suitable for advanced undergraduate and graduate courses in functional analysis, this volume is also a valuable resource for researchers in Fredholm theory, Banach algebras, and multiparameter spectral theory. The treatment develops the theory of open and almost open operators between incomplete spaces. It builds the enlargement of a normed space and of a bounded operator and sets up an elementary algebraic framework for Fredholm theory. The approach extends from the definition of a normed space to the fringe of modern multiparameter spectral theory and concludes with a discussion of the varieties of joint spectrum. This edition contains a brief new Prologue by author Robin Harte as well as his lengthy new Epilogue, ""Residual Quotients and the Taylor Spectrum.""Dover republication of the edition published by Marcel Dekker, Inc., New York, 1988.
Prologue Preface
1. Normed Linear Spaces
2. Bounded Linear Operators
3. Invertibility and Singularity
4. Banach Spaces and Completeness
5. Linear Functions and Duality
6. Finite Dimensional Spaces and Compactness
7. Operator Algebra nand Commutivity
8. Inner Products and Orthogonality
9. Liouville's Theorem and Spectral Theory
10. Comparisons of Operators and Exactness
11. Multiparameter Spectral Theory Epilogue Notes, Comments, and Exercises References Notation Index
1. Normed Linear Spaces
2. Bounded Linear Operators
3. Invertibility and Singularity
4. Banach Spaces and Completeness
5. Linear Functions and Duality
6. Finite Dimensional Spaces and Compactness
7. Operator Algebra nand Commutivity
8. Inner Products and Orthogonality
9. Liouville's Theorem and Spectral Theory
10. Comparisons of Operators and Exactness
11. Multiparameter Spectral Theory Epilogue Notes, Comments, and Exercises References Notation Index
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