메뉴 건너뛰기




Volumn 66, Issue 2, 2002, Pages 388-406

Montel (DF)-spaces, sequential (LM)-spaces and the strongest locally convex topology

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036807128     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610702003459     Document Type: Article
Times cited : (29)

References (31)
  • 1
    • 0011345627 scopus 로고    scopus 로고
    • The Levy-Steinitz rearrangement theorem for duals of metrizable spaces
    • J. Bonet and A. Defant, 'The Levy-Steinitz rearrangement theorem for duals of metrizable spaces', Israel J. Math. 117 (2000) 131-156.
    • (2000) Israel J. Math. , vol.117 , pp. 131-156
    • Bonet, J.1    Defant, A.2
  • 2
  • 3
    • 0002685765 scopus 로고
    • On compactness in locally convex spaces
    • B. Cascales and J. Orihuela, 'On compactness in locally convex spaces', Math. Z. 195 (1987) 365-381.
    • (1987) Math. Z. , vol.195 , pp. 365-381
    • Cascales, B.1    Orihuela, J.2
  • 5
    • 84966218635 scopus 로고
    • Two classes of Fréchet-Urysohn spaces
    • A. Dow, 'Two classes of Fréchet-Urysohn spaces', Proc. Amer. Math. Soc. 108 (1990) 241-247.
    • (1990) Proc. Amer. Math. Soc. , vol.108 , pp. 241-247
    • Dow, A.1
  • 6
    • 84968495779 scopus 로고
    • On sequential convergence
    • R.M. Dudley, 'On sequential convergence', Trans. Amer. Math. Soc. 112 (1964) 483-507.
    • (1964) Trans. Amer. Math. Soc. , vol.112 , pp. 483-507
    • Dudley, R.M.1
  • 8
    • 0011363475 scopus 로고
    • Fréchet-Montel spaces which are not Schwartz spaces
    • K. Floret, 'Fréchet-Montel spaces which are not Schwartz spaces', Portugal. Math. 42 (1983/84) 1-4.
    • (1983) Portugal. Math. , vol.42 , pp. 1-4
    • Floret, K.1
  • 9
    • 0000293411 scopus 로고
    • Spaces in which sequences suffice
    • S.P. Franklin, 'Spaces in which sequences suffice', Fund. Math. 57 (1965) 107-114.
    • (1965) Fund. Math. , vol.57 , pp. 107-114
    • Franklin, S.P.1
  • 10
    • 0002316263 scopus 로고    scopus 로고
    • Strongly Lindelöf spaces, Baire-type property and sequential closure conditions for inductive limits of metrizable spaces
    • ed. Dierolf, Dineen and Domanski, Walter de Gruyter, Berlin
    • J. Ka̧kol, 'Strongly Lindelöf spaces, Baire-type property and sequential closure conditions for inductive limits of metrizable spaces', Functional analysis (ed. Dierolf, Dineen and Domanski, Walter de Gruyter, Berlin, 1996) 227-239.
    • (1996) Functional analysis , pp. 227-239
    • Ka̧kol, J.1
  • 11
    • 85027228687 scopus 로고    scopus 로고
    • The Fréchet-Urysohn property, (LM)-spaces and the strongest locally convex topology
    • to appear
    • J. Ka̧kol and S.A. Saxon, 'The Fréchet-Urysohn property, (LM)-spaces and the strongest locally convex topology', Proc. Roy. Irish Acad., to appear.
    • Proc. Roy. Irish Acad.
    • Ka̧kol, J.1    Saxon, S.A.2
  • 13
    • 0000123559 scopus 로고
    • Metrizability and the Fréchet-Urysohn property in topological groups
    • P. Nyikos, 'Metrizability and the Fréchet-Urysohn property in topological groups', Proc. Amer. Math. Soc. 83 (1981) 793-801.
    • (1981) Proc. Amer. Math. Soc. , vol.83 , pp. 793-801
    • Nyikos, P.1
  • 15
    • 0002565242 scopus 로고
    • Bemerkungen zum Satz über die separabilität der Fréche-Montel Räume
    • H. Pfister, 'Bemerkungen zum Satz über die Separabilität der Fréche-Montel Räume', Arch. Math. 26 (1976) 86-92.
    • (1976) Arch. Math. , vol.26 , pp. 86-92
    • Pfister, H.1
  • 16
    • 84972492739 scopus 로고
    • Generalized inductive limit topologies and barrelledness properties
    • W. Ruess, 'Generalized inductive limit topologies and barrelledness properties', Pacific J. Math. 63 (1976) 499-516.
    • (1976) Pacific J. Math. , vol.63 , pp. 499-516
    • Ruess, W.1
  • 17
    • 0003090307 scopus 로고
    • Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
    • S.A. Saxon, 'Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology', Math. Ann. 197 (1972) 87-106.
    • (1972) Math. Ann. , vol.197 , pp. 87-106
    • Saxon, S.A.1
  • 18
    • 0011265521 scopus 로고
    • A maximal extension of Köthe's homomorphism theorem
    • S.A. Saxon, 'A maximal extension of Köthe's homomorphism theorem', Note Mat. XII (1992) 229-236.
    • (1992) Note Mat. , vol.12 , pp. 229-236
    • Saxon, S.A.1
  • 19
    • 85027219449 scopus 로고
    • The codensity character of topological vector spaces
    • Topological vector spaces, algebras and related areas, (ed. A. Lau and I. Tweddle, Longman)
    • S.A. Saxon, 'The codensity character of topological vector spaces', Topological vector spaces, algebras and related areas, Pitman Revision Notes in Mathematics 316 (ed. A. Lau and I. Tweddle, Longman, 1994) 3-15.
    • (1994) Pitman Revision Notes in Mathematics , vol.316 , pp. 3-15
    • Saxon, S.A.1
  • 20
    • 0002095433 scopus 로고
    • Every countable-codimensional subspace of a barrelled space is barrelled
    • S.A. Saxon and M. Levin, 'Every countable-codimensional subspace of a barrelled space is barrelled', Proc. Amer. Math. Soc. 29 (1971) 91-96.
    • (1971) Proc. Amer. Math. Soc. , vol.29 , pp. 91-96
    • Saxon, S.A.1    Levin, M.2
  • 21
    • 0000878326 scopus 로고
    • (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology
    • S.A. Saxon and P.P. Narayanaswami, '(LF)-spaces, quasi-Baire spaces and the strongest locally convex topology', Math. Ann. 274 (1986) 627-641.
    • (1986) Math. Ann. , vol.274 , pp. 627-641
    • Saxon, S.A.1    Narayanaswami, P.P.2
  • 22
    • 0011268979 scopus 로고
    • Metrizable [normable] (LF)-spaces and two classical problems in Fréchet [Banach] spaces
    • S.A. Saxon and P.P. Narayanaswami, 'Metrizable [normable] (LF)-spaces and two classical problems in Fréchet [Banach] spaces', Studia Math. 93 (1989) 1-16.
    • (1989) Studia Math. , vol.93 , pp. 1-16
    • Saxon, S.A.1    Narayanaswami, P.P.2
  • 23
    • 0000353012 scopus 로고
    • Dense barrelled subspaces of uncountable codimension
    • S.A. Saxon and W.J. Robertson, 'Dense barrelled subspaces of uncountable codimension', Proc. Amer. Math. Soc. 107 (1989) 1021-1029.
    • (1989) Proc. Amer. Math. Soc. , vol.107 , pp. 1021-1029
    • Saxon, S.A.1    Robertson, W.J.2
  • 26
    • 0011358160 scopus 로고
    • Sur les topologies des espaces de L. Schwartz
    • T. Shirai, 'Sur les topologies des espaces de L. Schwartz', Proc. Japan Acad. 35 (1959) 31-36.
    • (1959) Proc. Japan Acad. , vol.35 , pp. 31-36
    • Shirai, T.1
  • 27
    • 77956975959 scopus 로고
    • On semi-Suslin spaces and dual metric spaces
    • Functional analysis, holomorphy and approximation theory, 1980, ed. J.A. Barroso, North-Holland
    • M. Valdivia, 'On semi-Suslin spaces and dual metric spaces', Functional analysis, holomorphy and approximation theory, 1980, Mathematics Studies 71 (ed. J.A. Barroso, North-Holland, 1982) 445-459.
    • (1982) Mathematics Studies , vol.71 , pp. 445-459
    • Valdivia, M.1
  • 28
    • 38249008165 scopus 로고
    • The product of a Fréchet space and a metrizable space
    • E.K. Van Douwen, 'The product of a Fréchet space and a metrizable space', Topology Appl. 47 (1992) 163-164.
    • (1992) Topology Appl. , vol.47 , pp. 163-164
    • Van Douwen, E.K.1
  • 29
    • 84971120922 scopus 로고
    • Sequential convergence in locally convex spaces
    • J.H. Webb, 'Sequential convergence in locally convex spaces', Proc. Cambridge Philos. Soc. 64 (1968) 341-364.
    • (1968) Proc. Cambridge Philos. Soc. , vol.64 , pp. 341-364
    • Webb, J.H.1
  • 30
    • 0003270863 scopus 로고
    • Differential calculus in topological linear spaces
    • Springer, New York
    • S. Yamamuro, Differential calculus in topological linear spaces, Lecture Notes in Mathematics 374 (Springer, New York, 1974).
    • (1974) Lecture Notes in Mathematics , vol.374
    • Yamamuro, S.1
  • 31
    • 0002525770 scopus 로고
    • On a locally convex space introduced by J.S. e Silva
    • K. Yoshinaga, 'On a locally convex space introduced by J.S. e Silva', J. Sci. Hiroshima Univ. Ser. A-I Math. 21 (1957) 89-98.
    • (1957) J. Sci. Hiroshima Univ. Ser. A-I Math. , vol.21 , pp. 89-98
    • Yoshinaga, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.