메뉴 건너뛰기




Volumn 97, Issue 1-2, 1999, Pages 99-108

A characterization of the Schur property by means of the Bohr topology Salvador

Author keywords

Banach space; Bohr topology; MAPA group; Pontryagin duality; Respects compactness; Schur property; Strongly respects compactness

Indexed keywords


EID: 0040172259     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (14)

References (20)
  • 1
    • 84972570126 scopus 로고
    • 1 Banach spaces failing the Schur property
    • 1 Banach spaces failing the Schur property, Pacific J. Math. 122 (1986) 287-297.
    • (1986) Pacific J. Math. , vol.122 , pp. 287-297
    • Azimi, P.1    Hagler, J.N.2
  • 2
    • 0003208315 scopus 로고
    • Additive subgroups of topological vector spaces
    • Springer, Berlin
    • W. Banaszczyk, Additive Subgroups of Topological Vector Spaces, Lecture Notes in Math. 1466 (Springer, Berlin, 1991).
    • (1991) Lecture Notes in Math. , vol.1466
    • Banaszczyk, W.1
  • 3
    • 85045589537 scopus 로고    scopus 로고
    • Pontryagin duality for metrizable groups
    • to appear
    • M.J. Chasco, Pontryagin duality for metrizable groups, Arch. Math., to appear.
    • Arch. Math.
    • Chasco, M.J.1
  • 4
    • 0011575516 scopus 로고
    • The Bohr compactification, modulo a metrizable subgroup
    • W.W. Comfort, F.J. Trigos-Arrieta and T.-S. Wu, The Bohr compactification, modulo a metrizable subgroup, Fund. Math. 143 (1993) 119-136.
    • (1993) Fund. Math. , vol.143 , pp. 119-136
    • Comfort, W.W.1    Trigos-Arrieta, F.J.2    Wu, T.-S.3
  • 6
    • 0002432379 scopus 로고
    • The maximal totally bounded group topology on G and the biggest minimal G-space for Abelian groups G
    • E.K. van Douwen, The maximal totally bounded group topology on G and the biggest minimal G-space for Abelian groups G, Topology Appl. 34 (1990) 69-91.
    • (1990) Topology Appl. , vol.34 , pp. 69-91
    • Van Douwen, E.K.1
  • 7
    • 3142521812 scopus 로고    scopus 로고
    • On the completion of a MAP group
    • S. Andima, G. Itzkowitz, T.Y. Kong, R. Kopperman and P.R. Misra, eds., Papers on General Topology and Applications, Proc. Eleventh Summer Conference at the University of Southern Maine, August 1995, New York Acad. of Sci., New York
    • J. Galindo and S. Hernández, On the completion of a MAP group, in: S. Andima, G. Itzkowitz, T.Y. Kong, R. Kopperman and P.R. Misra, eds., Papers on General Topology and Applications, Proc. Eleventh Summer Conference at the University of Southern Maine, August 1995, Ann. New York Acad. Sci. 806 (New York Acad. of Sci., New York, 1996) pp. 164-168.
    • (1996) Ann. New York Acad. Sci. , vol.806 , pp. 164-168
    • Galindo, J.1    Hernández, S.2
  • 10
    • 0001535687 scopus 로고
    • Uniform boundedness for groups
    • I. Glicksberg, Uniform boundedness for groups, Canadian J. Math. 14 (1962) 269-276.
    • (1962) Canadian J. Math. , vol.14 , pp. 269-276
    • Glicksberg, I.1
  • 11
    • 0001567307 scopus 로고
    • Critères de compacité dans les espaces fonctonniels généraux
    • A. Grothendieck, Critères de compacité dans les espaces fonctonniels généraux, Amer. J. Math. 74 (1952) 168-186.
    • (1952) Amer. J. Math. , vol.74 , pp. 168-186
    • Grothendieck, A.1
  • 12
    • 84968518910 scopus 로고
    • Compactness in locally compact groups
    • R. Hughes, Compactness in locally compact groups, Bull. Amer. Math. Soc. 79 (1973) 122-123.
    • (1973) Bull. Amer. Math. Soc. , vol.79 , pp. 122-123
    • Hughes, R.1
  • 13
    • 84972579811 scopus 로고
    • Separate continuity and joint continuity
    • I. Namioka, Separate continuity and joint continuity, Pacific J. Math. 51 (1974) 515-531.
    • (1974) Pacific J. Math. , vol.51 , pp. 515-531
    • Namioka, I.1
  • 14
    • 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
  • 15
    • 0000008090 scopus 로고
    • Abelian groups which satisfy Pontryagin duality need not respect compactness
    • D. Remus and F.J. Trigos-Arrieta, Abelian groups which satisfy Pontryagin duality need not respect compactness, Proc. Amer. Math. Soc. 117 (1993) 1195-1200.
    • (1993) Proc. Amer. Math. Soc. , vol.117 , pp. 1195-1200
    • Remus, D.1    Trigos-Arrieta, F.J.2
  • 16
    • 15944429632 scopus 로고    scopus 로고
    • Locally convex spaces as subgroups of products of locally compact Abelian groups
    • to appear
    • D. Remus and F.J. Trigos-Arrieta, Locally convex spaces as subgroups of products of locally compact Abelian groups, Math. Japon., to appear.
    • Math. Japon.
    • Remus, D.1    Trigos-Arrieta, F.J.2
  • 19
    • 0000903126 scopus 로고
    • The Pontryagin duality theorem in linear spaces
    • M.F. Smith, The Pontryagin duality theorem in linear spaces, Ann. of Math. (2) 56 (1952) 248-253.
    • (1952) Ann. of Math. (2) , vol.56 , pp. 248-253
    • Smith, M.F.1
  • 20
    • 0039087558 scopus 로고    scopus 로고
    • Sequential criteria for equicontinuity and uniformities on topological groups
    • J.P. Troallic, Sequential criteria for equicontinuity and uniformities on topological groups, Topology Appl. 68 (1996) 83-95.
    • (1996) Topology Appl. , vol.68 , pp. 83-95
    • Troallic, J.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.