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Principles of functional analysis (Record no. 9530)

000 -LEADER
fixed length control field 05200cam a2200289 a 4500
001 - CONTROL NUMBER
control field 12382002
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20170607122146.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 010417s2002 riua b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2001031601
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821848562
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Transcribing agency DLC
Modifying agency DLC
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA320
Item number .S32 2002
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.7
Edition number 21
Item number SCH-P
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Schechter, Martin
245 10 - TITLE STATEMENT
Title Principles of functional analysis
Statement of responsibility, etc Martin Schechter.
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Providence, R.I. :
Name of publisher, distributor, etc American Mathematical Society,
Date of publication, distribution, etc ©2002.
300 ## - PHYSICAL DESCRIPTION
Extent xxi, 425 p. :
Other physical details ill. ;
Dimensions 26 cm.
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Graduate studies in mathematics,
International Standard Serial Number 1065-7339 ;
Volume number/sequential designation v. 36
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Machine generated contents note: Chapter 1. BASIC NOTIONS -- 1.1. A problem from differential equations -- 1.2. An examination of the results -- 1.3. Examples of Banach spaces -- 1.4. Fourier series -- 1.5. Problems -- Chapter 2. DUALITY -- 2.1. The Riesz representation theorem -- 2.2. The Hahn-Banach theorem -- 2.3. Consequences of the Hahn-Banach theorem -- 2.4. Examples of dual spaces -- 2.5. Problems -- Chapter 3. LINEAR OPERATORS -- 3.1. Basic properties -- 3.2. The adjoint operator -- 3.3. Annihilators -- 3.4. The inverse operator -- 3.5. Operators with closed ranges -- 3.6. The uniform boundedness principle -- 3.7. The open mapping theorem -- 3.8. Problems -- Chapter 4. THE RIESZ THEORY FOR COMPACT OPERATORS -- 4.1. A type of integral equation -- 4.2. Operators of finite rank -- 4.3. Compact operators -- 4.4. The adjoint of a compact operator -- 4.5. Problems -- Chapter 5. FREDHOLM OPERATORS -- 5.1. Orientation -- 5.2. Further properties -- 5.3. Perturbation theory -- 5.4. The adjoint operator -- 5.5. A special case -- 5.6. Semi-Fredholm operators -- 5.7. Products of operators -- 5.8. Problems -- Chapter 6. SPECTRAL THEORY -- 6.1. The spectrum and resolvent sets -- 6.2. The spectral mapping theorem -- 6.3. Operational calculus -- 6.4. Spectral projections -- 6.5. Complexification -- 6.6. The complex Hahn-Banach theorem -- 6.7. A geometric lemma -- 6.8. Problems -- Chapter 7. UNBOUNDED OPERATORS -- 7.1. Unbounded Fredholm operators -- 7.2. Further properties -- 7.3. Operators with closed ranges -- 7.4. Total subsets -- 7.5. The essential spectrum -- 7.6. Unbounded semi-Fredholm operators -- 7.7. The adjoint of a product of operators -- 7.8. Problems -- Chapter 8. REFLEXIVE BANACH SPACES -- 8.1. Properties of reflexive spaces -- 8.2. Saturated subspaces -- 8.3. Separable spaces -- 8.4. Weak convergence -- 8.5. Examples -- 8.6. Completing a normed vector space -- 8.7. Problems -- Chapter 9. BANACH ALGEBRAS -- 9.1. Introduction -- 9.2. An example -- 9.3. Commutative algebras -- 9.4. Properties of maximal ideals -- 9.5. Partially ordered sets -- 9.6. Riesz operators -- 9.7. Fredholm perturbations -- 9.8. Semi-Fredholm perturbations -- 9.9. Remarks -- 9.10. Problems -- Chapter 10. SEMIGROUPS -- 10.1. A differential equation -- 10.2. Uniqueness -- 10.3. Unbounded operators -- 10.4. The infinitesimal generator -- 10.5. An approximation theorem -- 10.6. Problems -- Chapter 11. HILBERT SPACE -- 11.1. When is a Banach space a Hilbert space? -- 11.2. -Normal operators -- 11.3. Approximation by operators of finite rank -- 11.4. Integral operators -- 11.5. Hyponormal operators -- 11.6. Problems -- Chapter 12. BILINEAR FORMS -- 12.1. The numerical range -- 12.2. The associated operator -- 12.3. Symmetric forms -- 12.4. Closed forms -- 12.5. Closed extensions -- 12.6. Closable operators -- 12.7. Some proofs -- 12.8. Some representation theorems -- 12.9. Dissipative operators -- 12.10. The case of a line or a strip -- 12.11. Selfadjoint extensions -- 12.12. Problems -- Chapter 13. SELFADJOINT OPERATORS -- 13.1. Orthogonal projections -- 13.2. Square roots of operators -- 13.3. A decomposition of operators -- 13.4. Spectral resolution -- 13.5. Some consequences -- 13.6. Unbounded selfadjoint operators -- 13.7. Problems -- Chapter 14. MEASURES OF OPERATORS -- 14.1. A seminorm -- 14.2. Perturbation classes -- 14.3. Related measures -- 14.4. Measures of noncompactness -- 14.5. The quotient space -- 14.6. Strictly singular operators -- 14.7. - Norm perturbations -- 14.8. Perturbation functions -- 14.9. Factored perturbation functions -- 14.10. Problems -- Chapter 15. EXAMPLES AND APPLICATIONS -- 15.1. A few remarks -- 15.2. A differential operator -- 15.3. Does A have a closed extension? -- 15.4. The closure of A -- 15.5. Another approach -- 15.6. The Fourier transform -- 15.7. Multiplication by a function -- 15.8. More general operators -- 15.9. B-Compactness -- 15.10. The adjoint of A -- 15.11. An integral operator -- 15.12. Problems -- Appendix A. Glossary -- Appendix B. Major Theorems -- Bibliography -- Index.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functional analysis
856 41 - ELECTRONIC LOCATION AND ACCESS
Materials specified Table of contents
Uniform Resource Identifier http://www.loc.gov/catdir/toc/fy022/2001031601.html
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type Books
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Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Permanent location Current location Shelving location Date acquired Cost, normal purchase price Full call number Barcode Date last seen Cost, replacement price Price effective from Koha item type Bill No. Bill Date PO No. PO Date Vendor/Supplier
          Mathematics IIITD IIITD General Stacks 2014-01-11 570 515.7 SCH-P 003797 2014-01-11 760 2014-01-11 Books KBD/2013-2014/6360 2014-01-06 IIITD/LIC/BS/2012/03/60 2013-12-26 Krishna Book Distributors

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