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Volumn 90, Issue 2, 2014, Pages 295-303

BARRELLED SPACES WITH(OUT) SEPARABLE QUOTIENTS

Author keywords

barrelled spaces; compact open topology; separable quotients

Indexed keywords


EID: 84938419851     PISSN: 00049727     EISSN: 17551633     Source Type: Journal    
DOI: 10.1017/S0004972714000422     Document Type: Article
Times cited : (21)

References (30)
  • 1
    • 43049179878 scopus 로고    scopus 로고
    • Unconditional families in Banach spaces
    • S. A. Argyros, P. Dodos and V. Kanellopoulos, 'Unconditional families in Banach spaces', Math. Ann. 341 (2008), 15-38.
    • (2008) Math. Ann. , vol.341 , pp. 15-38
    • Argyros, S.A.1    Dodos, P.2    Kanellopoulos, V.3
  • 2
    • 84931109487 scopus 로고
    • Una nota sobre un resultado de Eidelheit
    • P. Pérez Carreras and J. Bonet, 'Una nota sobre un resultado de Eidelheit', Collect. Math. 33 (1982), 195-199.
    • (1982) Collect. Math. , vol.33 , pp. 195-199
    • Pérez Carreras, P.1    Bonet, J.2
  • 3
    • 0003236344 scopus 로고
    • Barrelled Locally Convex Spaces
    • North-Holland, Amsterdam
    • P. Pérez Carreras and J. Bonet, Barrelled Locally Convex Spaces, Mathematics Studies, 131 (North-Holland, Amsterdam, 1987).
    • (1987) Mathematics Studies , vol.131
    • Pérez Carreras, P.1    Bonet, J.2
  • 4
    • 34250419105 scopus 로고
    • Über einen Graphensatz für lineare Abbildungen mit metrisierbarem Zielraum
    • V. Eberhardt and W. Roelcke, 'Über einen Graphensatz für lineare Abbildungen mit metrisierbarem Zielraum', Manuscripta Math. 13 (1974), 53-68.
    • (1974) Manuscripta Math. , vol.13 , pp. 53-68
    • Eberhardt, V.1    Roelcke, W.2
  • 5
    • 10044227642 scopus 로고
    • Zur Theorie der Systeme linearer Gleichungen
    • M. Eidelheit, 'Zur Theorie der Systeme linearer Gleichungen', Studia Math. 6 (1936), 130-148.
    • (1936) Studia Math. , vol.6 , pp. 130-148
    • Eidelheit, M.1
  • 8
    • 2442653860 scopus 로고    scopus 로고
    • Pseudocompact spaces X and d f-spaces Cc(X)
    • J. Kąkol, S. A. Saxon and A. R. Todd, 'Pseudocompact spaces X and d f-spaces Cc(X)', Proc. Amer. Math. Soc. 132 (2004), 1703-1712.
    • (2004) Proc. Amer. Math. Soc. , vol.132 , pp. 1703-1712
    • Kąkol, J.1    Saxon, S.A.2    Todd, A.R.3
  • 11
    • 70350582122 scopus 로고
    • Remarks concerning the separable quotient problem
    • J. Kąkol and W. ͆liwa, 'Remarks concerning the separable quotient problem', Note Mat. XIII (1993), 277-282.
    • (1993) Note Mat. , vol.13 , pp. 277-282
    • Kąkol, J.1    ͆liwa, W.2
  • 14
    • 84972535490 scopus 로고
    • Functional representations of topological algebras
    • P. D. Morris and D. E. Wulbert, 'Functional representations of topological algebras', Pacific J. Math. 22 (1967), 323-337.
    • (1967) Pacific J. Math. , vol.22 , pp. 323-337
    • Morris, P.D.1    Wulbert, D.E.2
  • 15
    • 0037677854 scopus 로고
    • On the codimension of subspaces of Lp(μ), 0 < p < 1
    • in Russian
    • M. M. Popov, 'On the codimension of subspaces of Lp(μ), 0 < p < 1', Funkt. Anal. Prilozen 18 (1984), 94-95 (in Russian).
    • (1984) Funkt. Anal. Prilozen , vol.18 , pp. 94-95
    • Popov, M.M.1
  • 16
    • 84974252524 scopus 로고
    • On properly separable quotients of strict (LF) spaces
    • W. J. Robertson, 'On properly separable quotients of strict (LF) spaces', J. Aust. Math. Soc. 47 (1989), 307-312.
    • (1989) J. Aust. Math. Soc. , vol.47 , pp. 307-312
    • Robertson, W.J.1
  • 17
    • 0001067797 scopus 로고
    • On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from ℓp(μ) to ℓr(ν)
    • H. P. Rosenthal, 'On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from ℓp(μ) to ℓr(ν)', J. Funct. Anal. 4 (1969), 176-214.
    • (1969) J. Funct. Anal. , vol.4 , pp. 176-214
    • Rosenthal, H.P.1
  • 18
    • 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
  • 19
    • 84915936973 scopus 로고
    • Every countable-codimensional subspace of an infinite-dimensional [non-normable] Fréchet space has an infinite-dimensional Fréchet quotient [isomorphic to ω]
    • S. A. Saxon, 'Every countable-codimensional subspace of an infinite-dimensional [non-normable] Fréchet space has an infinite-dimensional Fréchet quotient [isomorphic to ω]', Bull. Pol. Acad. Sci. 39 (1991), 161-166.
    • (1991) Bull. Pol. Acad. Sci. , vol.39 , pp. 161-166
    • Saxon, S.A.1
  • 20
    • 84915900223 scopus 로고
    • All separable Banach spaces are quotients of any countable-codimensional subspace of ℓ1
    • S. A. Saxon, 'All separable Banach spaces are quotients of any countable-codimensional subspace of ℓ1', Bull. Pol. Acad. Sci. 39 (1991), 167-173.
    • (1991) Bull. Pol. Acad. Sci. , vol.39 , pp. 167-173
    • Saxon, S.A.1
  • 21
    • 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
  • 22
    • 84915902628 scopus 로고
    • Metrizable (LF)-spaces, (db)-spaces and the separable quotient problem
    • S. A. Saxon and P. P. Narayanaswami, 'Metrizable (LF)-spaces, (db)-spaces and the separable quotient problem', Bull. Aust. Math. Soc. 23 (1981), 65-80.
    • (1981) Bull. Aust. Math. Soc. , vol.23 , pp. 65-80
    • Saxon, S.A.1    Narayanaswami, P.P.2
  • 23
    • 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
  • 25
    • 84974307782 scopus 로고
    • The fit and flat components of barrelled spaces
    • S. A. Saxon and I. Tweddle, 'The fit and flat components of barrelled spaces', Bull. Aust. Math. Soc. 51 (1995), 521-528.
    • (1995) Bull. Aust. Math. Soc. , vol.51 , pp. 521-528
    • Saxon, S.A.1    Tweddle, I.2
  • 26
    • 0001047025 scopus 로고
    • The equivalence of some Banach space problems
    • S. A. Saxon and A. Wilansky, 'The equivalence of some Banach space problems', Colloq. Math. XXXVII (1977), 217-226.
    • (1977) Colloq. Math. , vol.37 , pp. 217-226
    • Saxon, S.A.1    Wilansky, A.2
  • 28
    • 0001829950 scopus 로고
    • On the stability of barrelled topologies II
    • I. Tweddle and F. E. Yeomans, 'On the stability of barrelled topologies II', Glasg. Math. J. 21 (1980), 91-95.
    • (1980) Glasg. Math. J. , vol.21 , pp. 91-95
    • Tweddle, I.1    Yeomans, F.E.2
  • 29
    • 84972488023 scopus 로고
    • The topology of compact convergence on continuous function spaces
    • S. Warner, 'The topology of compact convergence on continuous function spaces', Duke Math. J. 25 (1958), 265-282.
    • (1958) Duke Math. J. , vol.25 , pp. 265-282
    • Warner, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.