A revised closed graph theorem for quasi-Suslin spaces

Czechoslovak Mathematical Journal

Volumn 59, Issue 4, 2009, Pages 1115-1122

  Ferrando, J C ^a   Kakol J ^b   Pellicer, M Lopez ^c  

^a MIGUEL HERNÁNDEZ UNIVERSITY   (Spain)

^b ADAM MICKIEWICZ UNIVERSITY   (Poland)

^c UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

K analytic space; Quasi Suslin space; Web space

Indexed keywords

EID: 70449401633     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10587-009-0079-2     Document Type: Article

References (19)

1. B. Cascales: On K-analytic locally convex spaces. Arch. Math. 49 (1987), 232-244.
2. B. Cascales, J. Orihuela: On compactness in locally convex spaces. Math. Z. 195 (1987), 365-381.
3. J. P. R. Christensen: Topology and Borel Structure. Descriptive Topology and Set Theory with Applications to Functional Analysis and Measure Theory, Vol. 10. North Holland, Amsterdam, 1974.
4. W. W. Comfort, D. Remus: Compact groups of Ulam-measurable cardinality: Partial converse theorems of Arkhangel'skii and Varopoulos. Math. Jap. 39 (1994), 203-210.
5. P. Dierolf, S. Dierolf, L. Drewnowski: Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces. Colloq. Math. 39 (1978), 109-116.
6. L. Drewnowski: Resolutions of topological linear spaces and continuity of linear maps. J. Math. Anal. Appl. 335 (2007), 1177-1194.
7. L. Drewnowski: The dimension and codimension of analytic subspaces in topological vector spaces, with applications to the constructions of some pathological topological vector spaces. Liège 1982 (unpublished Math. talk).
8. L. Drewnowski, I. Labuda: Sequence F-spaces of L0-type over submeasures of ℕ. To appear.
9. J. Kakol, M. López Pellicer: Compact coverings for Baire locally convex spaces. J. Math. Anal. Appl. 332 (2007), 965-974.
10. J. L. Kelley, I. Namioka et al.: Linear Topological Spaces. van Nostrand, London, 1963.
11. Y. Kōmura: On linear topological spaces. Kumamoto J. Sci., Ser. A 5 (1962), 148-157.
12. M. Nakamura: On quasi-Suslin space and closed graph theorem. Proc. Japan Acad. 46(1970), 514-517.
13. M. Nakamura: On closed graph theorem. Proc. Japan Acad. 46 (1970), 846-849.
14. P. Perez Carreras, J. Bonet: Barrelled Locally Convex Spaces, Vol. 131. North Holland, Amsterdam, 1987.
15. C. A. Rogers, J. E. Jayne, C. Dellacherie, F. Topsoe, J. Hoffman-Jorgensen, D. A. Martin, A. S. Kechris, A. H. Stone: Analytic Sets. Academic Press, London, 1980.
16. M. Talagrand: Espaces de Banach faiblement K-analytiques. Ann. Math. 110 (1979), 407-438.
17. V. V. Tkachuk: A space Cp(X) is dominated by irrationals if and only if it is K-analytic. Acta Math. Hungar. 107 (2005), 253-265.
18. M. Valdivia: Topics in Locally Convex Spaces. North-Holland, Amsterdam, 1982.
19. M. Valdivia: Quasi-LB-spaces. J. Lond. Math. Soc. 35 (1987), 149-168.