메뉴 건너뛰기




Volumn 80, Issue , 2014, Pages 117-141

Characteristics of the mackey topology for abelian topological groups

Author keywords

Bohr compactification; Equicontinuous subset; Locally quasi convex group; Mackey topology on a topological group; Precompact group

Indexed keywords

GRADING; TOPOLOGY;

EID: 84927797810     PISSN: 21941009     EISSN: 21941017     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-319-05224-3_7     Document Type: Conference Paper
Times cited : (15)

References (21)
  • 2
    • 0242694349 scopus 로고    scopus 로고
    • Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups
    • Außenhofer, L.: Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups. Dissertationes Math. (Rozprawy Mat.) 384 (1999)
    • (1999) Dissertationes Math. (Rozprawy Mat.) , vol.384
    • Außenhofer, L.1
  • 3
    • 84857055248 scopus 로고    scopus 로고
    • Linear topologies on Z are not Mackey topologies
    • Außenhofer, L., de la Barrera, D.: Linear topologies on Z are not Mackey topologies. J. Pure Appl. Algebra 216(6), 1340-1347 (2012)
    • (2012) J. Pure Appl. Algebra , vol.216 , Issue.6 , pp. 1340-1347
    • Außenhofer, L.1    de la Barrera, D.2
  • 4
    • 84871337442 scopus 로고    scopus 로고
    • On reflexive group topologies on abelian groups of finite exponent
    • Außenhofer, L., Gabriyelyan, S.S.: On reflexive group topologies on abelian groups of finite exponent. Arch. Math. 99, 583-588 (2012)
    • (2012) Arch. Math , vol.99 , pp. 583-588
    • Außenhofer, L.1    Gabriyelyan, S.S.2
  • 5
    • 0003208315 scopus 로고
    • Additive subgroups of topological vector spaces
    • Springer, Berlin
    • Banaszczyk, W.: Additive subgroups of topological vector spaces. Lecture Notes in Mathematics, vol. 1466. Springer, Berlin (1991)
    • (1991) Lecture Notes in Mathematics , vol.1466
    • Banaszczyk, W.1
  • 7
    • 0039679783 scopus 로고    scopus 로고
    • Some properties of locally quasi-convex groups
    • Bruguera, M.M.: Some properties of locally quasi-convex groups. Topol. Appl. 77, 87-94 (1997)
    • (1997) Topol. Appl , vol.77 , pp. 87-94
    • Bruguera, M.M.1
  • 8
    • 0032221011 scopus 로고    scopus 로고
    • Pontryagin duality for metrizable groups
    • Chasco, M.J.: Pontryagin duality for metrizable groups. Arch. Math. 70, 22-28 (1998)
    • (1998) Arch. Math , vol.70 , pp. 22-28
    • Chasco, M.J.1
  • 10
    • 84902474362 scopus 로고    scopus 로고
    • Group valued null sequences andmetrizable non-Mackey groups
    • Dikranjan, D.,Martín-Peinador, E., Tarieladze,V.:Group valued null sequences andmetrizable non-Mackey groups. Forum Math. 26, 723-757 (2014)
    • (2014) Forum Math , vol.26 , pp. 723-757
    • Dikranjan, D.1    Martín-Peinador, E.2    Tarieladze, V.3
  • 11
    • 84886641930 scopus 로고    scopus 로고
    • Compact-like abelian groups without nontrivial quasi-convex null sequences
    • Dikranjan, D., Lukács, G.: Compact-like abelian groups without nontrivial quasi-convex null sequences. J. Pure Appl. Algebra 218, 135-147 (2014)
    • (2014) J. Pure Appl. Algebra , vol.218 , pp. 135-147
    • Dikranjan, D.1    Lukács, G.2
  • 12
    • 77957900171 scopus 로고    scopus 로고
    • Groups of quasi-invariance and the Pontriagin duality
    • Gabriyelyan, S.S.: Groups of quasi-invariance and the Pontriagin duality. Topol. Appl. 157, 2786-2802 (2010)
    • (2010) Topol. Appl , vol.157 , pp. 2786-2802
    • Gabriyelyan, S.S.1
  • 13
  • 14
    • 4243376823 scopus 로고
    • The Mackey-Arens theorem for non-locally convex spaces
    • Kąkol, J.: The Mackey-Arens theorem for non-locally convex spaces. Collect. Math. 41(2), 129-132 (1990)
    • (1990) Collect. Math , vol.41 , Issue.2 , pp. 129-132
    • Kąkol, J.1
  • 16
    • 0000067766 scopus 로고
    • K-groups and duality
    • Noble, N.: K-groups and duality. Trans. Amer. Math. Soc. 151, 551-561 (1970)
    • (1970) Trans. Amer. Math. Soc , vol.151 , pp. 551-561
    • Noble, N.1
  • 18
    • 84971171137 scopus 로고
    • Studies in harmonic analysis
    • Varopoulos, N.Th: Studies in harmonic analysis. Proc. Camb. Philos. Soc. 60, 465-516 (1964)
    • (1964) Proc. Camb. Philos. Soc , vol.60 , pp. 465-516
    • Varopoulos, N.1
  • 19
    • 0040271568 scopus 로고
    • The theory of characters of topological Abelian groups with boundedness given
    • Vilenkin, N.Y.: The theory of characters of topological Abelian groups with boundedness given. Izvestiya Akad. Nauk SSSR. Ser. Mat. 15, 439-162 (1951)
    • (1951) Izvestiya Akad. Nauk SSSR. Ser. Mat , vol.15 , pp. 162-439
    • Vilenkin, N.Y.1
  • 20
    • 0002375961 scopus 로고
    • Topological Fields
    • North Holland, Amsterdam
    • Warner, S.: Topological Fields. Mathematics Studies, vol. 157. North Holland, Amsterdam (1989)
    • (1989) Mathematics Studies , vol.157
    • Warner, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.