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Volumn 303, Issue 1, 2005, Pages 274-287

Group duality with the topology of precompact convergence

Author keywords

(Pre )compact; (Quasi , von Neumann )complete; Barrel; Character; Dual; Equicontinuity; Locally (quasi )convex space (group); Polar; Weak topology

Indexed keywords


EID: 12744254740     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.08.033     Document Type: Article
Times cited : (9)

References (27)
  • 1
    • 0010603121 scopus 로고
    • Pontryagin duality in the theory of topological vector spaces
    • S.S. Akbarov Pontryagin duality in the theory of topological vector spaces Math. Notes 57 1995 319-322
    • (1995) Math. Notes , vol.57 , pp. 319-322
    • Akbarov, S.S.1
  • 2
    • 12744274415 scopus 로고    scopus 로고
    • Stereotype locally convex spaces
    • translated from Izv. Ross. Akad. Nauk 64 (2000) 3-46
    • S.S. Akbarov Stereotype locally convex spaces Izv. Math. 64 2000 653-694, translated from Izv. Ross. Akad. Nauk 64 (2000) 3-46
    • (2000) Izv. Math. , vol.64 , pp. 653-694
    • Akbarov, S.S.1
  • 3
    • 12744272999 scopus 로고    scopus 로고
    • On two classes of spaces, reflexive in the sense of Pontryagin
    • (in Russian), submitted for publication
    • S.S. Akbarov, E.T. Shavgulidze, On two classes of spaces, reflexive in the sense of Pontryagin (in Russian), submitted for publication
    • Akbarov, S.S.1    Shavgulidze, E.T.2
  • 4
    • 0242694349 scopus 로고    scopus 로고
    • Contributions to the duality theory of Abelian topological groups and to the theory of nuclear groups, Dissertation, Tübingen, 1998
    • L. Außenhofer Contributions to the duality theory of Abelian topological groups and to the theory of nuclear groups, Dissertation, Tübingen, 1998 Dissertationes Math. (Rozprawy Mat.) 384 1999 113
    • (1999) Dissertationes Math. (Rozprawy Mat.) , vol.384 , pp. 113
    • Außenhofer, L.1
  • 6
    • 0010570359 scopus 로고
    • Duals of Fréchet spaces and a generalization of the Banach-Dieudonné theorem
    • K. Brauner Duals of Fréchet spaces and a generalization of the Banach-Dieudonné theorem Duke Math. J. 40 1973 845-855
    • (1973) Duke Math. J. , vol.40 , pp. 845-855
    • Brauner, K.1
  • 7
    • 0010571535 scopus 로고
    • The k- and c-reflexivity of locally convex spaces
    • B.S. Brudovskiǐ The k- and c-reflexivity of locally convex spaces Litovsk. Mat. Sb. 7 1967 17-21
    • (1967) Litovsk. Mat. Sb. , vol.7 , pp. 17-21
    • Brudovskiǐ, B.S.1
  • 8
    • 0039976366 scopus 로고    scopus 로고
    • Grupos topológicos y grupos con estructuras de convergencia: Estudio de la dualidad de Pontryagin
    • (versión preliminar), Tesis Doctoral, Universidad de Barcelona
    • M. Bruguera, Grupos topológicos y grupos con estructuras de convergencia: Estudio de la dualidad de Pontryagin (versión preliminar), Tesis Doctoral, Universidad de Barcelona, 1998
    • (1998)
    • Bruguera, M.1
  • 10
    • 0038011088 scopus 로고    scopus 로고
    • A characterization of Pontryagin-van Kampen duality for locally convex spaces
    • F. Garibay Bonales F.J. Trigos-Arrieta R. Vera Mendoza A characterization of Pontryagin-van Kampen duality for locally convex spaces Topology Appl. 121 2002 75-89
    • (2002) Topology Appl. , vol.121 , pp. 75-89
    • Garibay Bonales, F.1    Trigos-Arrieta, F.J.2    Vera Mendoza, R.3
  • 11
    • 12744273001 scopus 로고    scopus 로고
    • Personal letter, February
    • H. Glöckner, Personal letter, February, 2002
    • (2002)
    • Glöckner, H.1
  • 12
    • 0035605330 scopus 로고    scopus 로고
    • Pontryagin duality for topological Abelian groups
    • S. Hernández Pontryagin duality for topological Abelian groups Math. Z. 238 2001 493-503
    • (2001) Math. Z. , vol.238 , pp. 493-503
    • Hernández, S.1
  • 13
    • 12744277866 scopus 로고    scopus 로고
    • Invariance of compactness for the Bohr topology
    • S. Hernández S. Macario Invariance of compactness for the Bohr topology Topology Appl. 111 2001 161-173
    • (2001) Topology Appl. , vol.111 , pp. 161-173
    • Hernández, S.1    Macario, S.2
  • 14
    • 0346482293 scopus 로고    scopus 로고
    • Pontryagin duality for spaces of continuous functions
    • S. Hernández V. Uspenskij Pontryagin duality for spaces of continuous functions J. Math. Anal. Appl. 242 2000 135-144
    • (2000) J. Math. Anal. Appl. , vol.242 , pp. 135-144
    • Hernández, S.1    Uspenskij, V.2
  • 17
    • 0000142226 scopus 로고
    • Extensions of Pontryagin duality I: Infinite products
    • S. Kaplan Extensions of Pontryagin duality I: Infinite products Duke Math. J. 15 1948 649-658
    • (1948) Duke Math. J. , vol.15 , pp. 649-658
    • Kaplan, S.1
  • 18
    • 0004002860 scopus 로고
    • Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen vol. 159 Springer-Verlag Berlin
    • G. Köthe Topological Vector Spaces, vol. I Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen vol. 159 1983 Springer-Verlag Berlin
    • (1983) Topological Vector Spaces , vol.1
    • Köthe, G.1
  • 19
    • 0010604812 scopus 로고
    • Pontryagin duality in real linear topological spaces
    • S.-H. Kye Pontryagin duality in real linear topological spaces Chinese J. Math. 12 1984 129-136
    • (1984) Chinese J. Math. , vol.12 , pp. 129-136
    • Kye, S.-H.1
  • 20
    • 38249023327 scopus 로고
    • Several reflexivities in topological vector spaces
    • S.-H. Kye Several reflexivities in topological vector spaces J. Math. Anal. Appl. 139 1989 477-482
    • (1989) J. Math. Anal. Appl. , vol.139 , pp. 477-482
    • Kye, S.-H.1
  • 21
    • 12744268262 scopus 로고    scopus 로고
    • La topología de Bohr para grupos topológicos Abelianos
    • Tesis Doctoral, Universitat Jaume I, Castellón
    • S. Macario, La topología de Bohr para grupos topológicos Abelianos, Tesis Doctoral, Universitat Jaume I, Castellón, 2002
    • (2002)
    • Macario, S.1
  • 23
    • 0000067766 scopus 로고
    • k-groups and duality
    • N. Noble k-groups and duality Trans. Amer. Math. Soc. 151 1970 551-561
    • (1970) Trans. Amer. Math. Soc. , vol.151 , pp. 551-561
    • Noble, N.1
  • 24
    • 0039384164 scopus 로고
    • Locally convex topologies and the convexcompactness property
    • E. Ostling A. Wilansky Locally convex topologies and the convexcompactness property Math. Proc. Cambridge Philos. Soc. 75 1974 45-50
    • (1974) Math. Proc. Cambridge Philos. Soc. , vol.75 , pp. 45-50
    • Ostling, E.1    Wilansky, A.2
  • 25
    • 0000903126 scopus 로고
    • The Pontrjagin duality theorem in linear spaces
    • M.F. Smith The Pontrjagin duality theorem in linear spaces Ann. Math. 56 1952 248-253
    • (1952) Ann. Math. , vol.56 , pp. 248-253
    • Smith, M.F.1
  • 26
    • 84972552664 scopus 로고
    • Dual groups of vector spaces
    • W.C. Waterhouse Dual groups of vector spaces Pacific J. Math. 26 1968 193-196
    • (1968) Pacific J. Math. , vol.26 , pp. 193-196
    • Waterhouse, W.C.1
  • 27
    • 0039069271 scopus 로고
    • A characterization of Pontryagin duality
    • R. Venkataraman A characterization of Pontryagin duality Math. Z. 149 1976 109-119
    • (1976) Math. Z. , vol.149 , pp. 109-119
    • Venkataraman, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.