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001 ocn316549601
003 OCoLC
005 20141103172225.0
006 m o d
007 cr cn|||||||||
008 090320s1987 ne a ob 001 0 eng d
040 _aOPELS
_beng
_cOPELS
_dOPELS
_dOCLCQ
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019 _a312572040
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_a802299765
_a823839771
_a823907701
_a824096918
_a824149809
020 _a9780444701299
020 _a044470129X
020 _a9780080872421 (electronic bk.)
020 _a0080872425 (electronic bk.)
020 _a1281797936
020 _a9781281797933
029 1 _aNZ1
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029 1 _aDEBBG
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029 1 _aDEBSZ
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029 1 _aAU@
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029 1 _aDEBBG
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035 _a(OCoLC)316549601
_z(OCoLC)312572040
_z(OCoLC)646775978
_z(OCoLC)802299765
_z(OCoLC)823839771
_z(OCoLC)823907701
_z(OCoLC)824096918
_z(OCoLC)824149809
037 _a127866:123258
_bElsevier Science & Technology
_nhttp://www.sciencedirect.com
042 _adlr
050 4 _aQA1
_b.N86 no. 113eb
050 4 _aQA322
_b.P47 1987eb
072 7 _aMAT
_x031000
_2bisacsh
072 7 _aPBKG
_2bicssc
082 0 4 _a510
_222
082 0 4 _a515.7/3
_222
049 _aTEFA
100 1 _aP�erez Carreras, Pedro.
245 1 0 _aBarrelled locally convex spaces
_h[electronic resource] /
_cPedro P�erez Carreras, Jos�e Bonet.
260 _aAmsterdam ;
_aNew York :
_bNorth-Holland ;
_aNew York, N.Y., U.S.A. :
_bSole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
_c1987.
300 _a1 online resource (xv, 512 p.) :
_bill.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aNorth-Holland mathematics studies ;
_v131
490 1 _aNotas de matem�atica ;
_v113
520 _aThis book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques. Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the space. The abstract theory of barrelled spaces is then presented, as well as local completeness and its applications to the inheritance of the Mackey topology to subspaces. Further discussed is the abstract study of bornological and ultrabornological spaces; B- and B-completeness; inductive limits; strong barrelledness conditions; characterizations of barrelled, bornological and (DF)-spaces in the context of spaces of type C(X); the stability of barrelledness conditions of topological tensor products and the related questions of commutability of inductive limits and tensor products; and the holomorphically significant properties of locally convex spaces as developed by Nachbin and others.
504 _aIncludes bibliographical references (p. 484-506) and index.
588 _aDescription based on print version record.
506 _3Use copy
_fRestrictions unspecified
_2star
_5MiAaHDL
533 _aElectronic reproduction.
_b[S.l.] :
_cHathiTrust Digital Library,
_d2011.
_5MiAaHDL
538 _aMaster and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
_uhttp://purl.oclc.org/DLF/benchrepro0212
_5MiAaHDL
583 1 _adigitized
_c2011
_hHathiTrust Digital Library
_lcommitted to preserve
_2pda
_5MiAaHDL
650 0 _aBarrelled spaces.
650 0 _aLocally convex spaces.
650 6 _aEspaces tonnel�es.
650 6 _aEspaces localement convexes.
650 7 _aBarrelled spaces.
_2fast
_0(OCoLC)fst00827745
650 7 _aLocally convex spaces.
_2fast
_0(OCoLC)fst01001674
650 7 _aMATHEMATICS
_xTransformations.
_2bisacsh
650 0 7 _aLokalkonvexer Raum.
_2swd
650 0 7 _aTonnelierter Raum.
_2swd
655 4 _aElectronic books.
700 1 _aBonet, Jos�e.
776 0 8 _iPrint version:
_aP�erez Carreras, Pedro.
_tBarrelled locally convex spaces.
_dAmsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987
_z044470129X
_z9780444701299
_w(DLC) 87130041
_w(OCoLC)15624086
830 0 _aNorth-Holland mathematics studies ;
_v131.
830 0 _aNotas de matem�atica (Rio de Janeiro, Brazil) ;
_vno. 113.
856 4 0 _3ScienceDirect
_uhttp://www.sciencedirect.com/science/book/9780444701299
856 4 _uhttp://www.sciencedirect.com/science/publication?issn=03040208&volume=131
_3Volltext
938 _aebrary
_bEBRY
_nebr10259504
938 _aEBSCOhost
_bEBSC
_n239753
938 _aIngram Digital eBook Collection
_bIDEB
_n179793
942 _cEB
994 _aC0
_bTEF
999 _c21808
_d21808