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Functional analysis / (Record no. 34610)

MARC details
000 -LEADER
fixed length control field	02562cam a22002174a 4500
001 - CONTROL NUMBER
control field	12494948
003 - CONTROL NUMBER IDENTIFIER
control field	OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20231110145739.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	231110b \|\|\|\|\|\|\|\| \|\|\|\| 00\| 0 hin d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9780471556046
040 ## - CATALOGING SOURCE
Original cataloging agency	NISER LIBRARY
Transcribing agency	NISER LIBRARY
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	517.9
Item number	LAX-F
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Lax, Peter D.
245 10 - TITLE STATEMENT
Title	Functional analysis /
Statement of responsibility, etc.	Peter D. Lax.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc.	New York:
Name of publisher, distributor, etc.	Wiley,
Date of publication, distribution, etc.	2002.
300 ## - PHYSICAL DESCRIPTION
Extent	xix, 580 p. ;
Dimensions	25 cm.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc	TABLE OF CONTENTS<br/>Foreword.<br/>1. Linear Spaces.<br/>2. Linear Maps.<br/>3. The Hahn-Banach Theorem.<br/>4. Applications of the Hahn-Banach Theorem.<br/>5. Normed Linear Spaces.<br/>6. Hilbert Space.<br/>7. Applications of Hilbert Space Results.<br/>8. Duals of Normed Linear Space.<br/>9. Applications of Duality.<br/>10. Weak Convergence.<br/>11. Applications of Weak Convergence.<br/>12. The Weak and Weak* Topologies.<br/>13. Locally Convex Topologies and the Krein-Milman Theorem.<br/>14. Examples of Convex Sets and their Extreme Points.<br/>15. Bounded Linear Maps.<br/>16. Examples of Bounded Linear Maps.<br/>17. Banach Algebras and their Elementary Spectral Theory.<br/>18. Gelfand's Theory of Commutative Banach Algebras.<br/>19. Applications of Gelfand's Theory of Commutative Banach Algebras.<br/>20. Examples of Operators and their Spectra.<br/>21. Compact Maps.<br/>22. Examples of Compact Operators.<br/>23. Positive Compact Operators.<br/>24. Fredholm's Theory of Integral Equations.<br/>25. Invariant Subspaces.<br/>26. Harmonic Analysis on a Halfline.<br/>27. Index Theory.<br/>28. Compact Symmetric Operators in Hilbert Space.<br/>29. Examples of Compact Symmetric Operators.<br/>30. Trace Class and Trace Formula.<br/>31. Spectral Theory of Symmetric, Normal and Unitary Operators.<br/>32. Spectral Theory of Self-Adjoint Operators.<br/>33. Examples of Self-Adjoint Operators.<br/>34. Semigroups of Operators.<br/>35. Groups of Unitary Operators.<br/>36. Examples of Strongly Continuous Semigroups.<br/>37. Scattering Theory.<br/>38. A Theorem of Beurling.<br/>Appendix A: The Riesz-Kakutani Representation Theorem.<br/>Appendix B: Theory of Distributions.<br/>Appendix C: Zorn's Lemma.
520 ## - SUMMARY, ETC.
Summary, etc.	Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.<br/>Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.<br/>Includes an appendix on the Riesz representation theorem.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Functional analysis.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme	Universal Decimal Classification
Koha item type	Book

Holdings
Withdrawn status	Lost status	Source of classification or shelving scheme	Damaged status	Not for loan	Home library	Current library	Date acquired	Total Checkouts	Full call number	Barcode	Date last seen	Price effective from	Koha item type
		Universal Decimal Classification			NISER LIBRARY	NISER LIBRARY	13/10/2007		517.9 LAX-F	621	10/11/2023	10/11/2023	Book