Locally Convex Spaces / (Record no. 449098)

MARC details
000 -LEADER
fixed length control field 03171cam a22005175i 4500
001 - CONTROL NUMBER
control field 21936806
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220106022457.0
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 |||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 131106s2014 gw |||| o |||| 0|eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2019767835
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319020457
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-02045-7
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number (DE-He213)978-3-319-02045-7
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Language of cataloging eng
Description conventions pn
-- rda
Transcribing agency DLC
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT037000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKF
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKF
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.7
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Osborne, M. Scott,
Relator term author.
245 10 - TITLE STATEMENT
Title Locally Convex Spaces /
Statement of responsibility, etc. by M. Scott Osborne.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2014.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Cham :
Name of producer, publisher, distributor, manufacturer Springer International Publishing :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2014.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (VIII, 213 pages 5 illustrations)
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
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Graduate Texts in Mathematics,
International Standard Serial Number 0072-5285 ;
Volume/sequential designation 269
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1 Topological Groups -- 2 Topological Vector Spaces -- 3 Locally Convex Spaces -- 4 The Classics -- 5 Dual Spaces -- 6 Duals of Fré chet Spaces -- A Topological Oddities -- B Closed Graphs in Topological Groups -- C The Other Krein-Smulian Theorem -- D Further Hints for Selected Exercises -- Bibliography -- Index.
520 ## - SUMMARY, ETC.
Summary, etc. For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory needed for application to other areas of analysis. Normed vector spaces, Banach spaces, and Hilbert spaces are all examples of classes of locally convex spaces, which is why this is an important topic in functional analysis. While this graduate text focuses on what is needed for applications, it also shows the beauty of the subject and motivates the reader with exercises of varying difficulty. Key topics covered include point set topology, topological vector spaces, the Hahn-Banach theorem, seminorms and Fréchet spaces, uniform boundedness, and dual spaces. The prerequisite for this text is the Banach space theory typically taught in a beginning graduate real analysis course.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher-supplied MARC data.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Functional analysis.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Lie groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Topological groups.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Functional Analysis.
Authority record control number or standard number https://scigraph.springernature.com/ontologies/product-market-codes/M12066
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Topological Groups, Lie Groups.
Authority record control number or standard number https://scigraph.springernature.com/ontologies/product-market-codes/M11132
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Title Locally convex spaces
International Standard Book Number 9783319020440
Record control number (DLC) 2013951652
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783319020440
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783319020464
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783319343747
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate Texts in Mathematics,
International Standard Serial Number 0072-5285 ;
Volume/sequential designation 269
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN)
a 0
b ibc
c origres
d u
e ncip
f 20
g y-gencatlg
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey 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 Shelving location Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     Dept. of Mathematics Dept. of Mathematics Processing Center 16/10/2021   515.7 SCO.L MAT7370 16/10/2021 16/10/2021 Book