A Guide to Functional Analysis. (Record no. 79832)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03262nam a22004333i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3330378 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729125049.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2013 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781614442134 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780883853573 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3330378 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3330378 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10728527 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)939263618 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA320.K668 2013 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.7 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Krantz, Steven G. |
| 245 12 - TITLE STATEMENT | |
| Title | A Guide to Functional Analysis. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2013. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (150 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | cover -- copyright page -- title page -- Contents -- Preface -- Fundamentals -- What is Functional Analysis? -- Normed Linear Spaces -- Finite-Dimensional Spaces -- Linear Operators -- The Baire Category Theorem -- The Three Big Results -- Applications of the Big Three -- Ode to the Dual Space -- Introduction -- Consequences of the Hahn-Banach Theorem -- Hilbert Space -- Introduction -- The Geometry of Hilbert Space -- The Algebra of Operators -- Preliminaries -- The Algebra of Bounded Linear Operators -- Compact Operators -- Banach Algebra Basics -- Introduction to Banach Algebras -- The Structure of a Banach Algebra -- Ideals -- The Wiener Tauberian Theorem -- Topological Vector Spaces -- Basic Ideas -- Fréchet Spaces -- Distributions -- Preliminary Remarks -- What is a Distribution? -- Operations on Distributions -- Approximation of Distributions -- The Fourier Transform -- Spectral Theory -- Background -- The Main Result -- Convexity -- Introductory Thoughts -- Separation Theorems -- The Main Result -- Fixed-Point Theorems -- Banach's Theorem -- Two Applications -- The Schauder Theorem -- Table of Notation -- Glossary -- Bibliography -- Index -- About the Author. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book is a quick but precise and careful introduction to the subject of functional analysis. It covers the basic topics that can be found in a basic graduate analysis text. But it also covers more sophisticated topics such as spectral theory, convexity, and fixed-point theorems. A special feature of the book is that it contains a great many examples and even some applications. It concludes with a statement and proof of Lomonosov's dramatic result about invariant subspaces. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Functional analysis. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Krantz, Steven G. |
| Title | A Guide to Functional Analysis |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2013 |
| International Standard Book Number | 9780883853573 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330378">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330378</a> |
| Public note | Click to View |
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