Metrizability vs. Fréchet-Urysohn property

Proceedings of the American Mathematical Society

Volumn 131, Issue 11, 2003, Pages 3623-3631

  Cascales, B ^a   Kakol J ^b   Saxon, S A ^c  

^a UNIVERSITY OF MURCIA   (Spain)

^b ADAM MICKIEWICZ UNIVERSITY   (Poland)

^c UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142231069     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-03-06944-2     Document Type: Conference Paper

References (19)

1. A. V. Arkhangel'skii, Topological Function Spaces, Kluwer Academic, Dordrecht, 1992. MR 92i:54022
2. P. Pérez Carreras and J. Bonet, Barrelled locally convex spaces, North-Holland Publishing Co., Amsterdam, 1987, Notas de Matemática [Mathematical Notes], 113. MR 88j:46003
3. B. Cascales, On K-analytic locally convex spaces, Arch. Math. (Basel) 49 (1987), 232-244. MR 88m:46003
4. B. Cascales, J. Ka̧kol, and S. A. Saxon, Weight of precompact subsets and tightness, J. Math. Anal. Appl. 269 (2002), 500-518.
5. B. Cascales and J. Orihuela, On compactness in locally convex spaces, Math. Z. 195 (1987), no. 3, 365-381. MR 88i:46021
6. G. Choquet, Theory of capacities, Ann. Inst. Fourier, Grenoble 5 (1953-1954), 131-295 (1955). MR 18:295g
7. P. Domanski and D. Vogt, Linear topological properties of the space of analytic functions on the real line, pp. 113-132 in Recent Progress in Functional Analysis, K. D. Bierstedt et al, eds., North-Holland Math. Studies 189, Amsterdam, 2001. MR 2002m:46036
8. P. Domanski and D. Vogt, The space of real analytic functions has no basis, Studia Math. 142 (2001), 187-200. MR 2001m:46044
9. S. P. Franklin, Spaces in which sequences suffice. II., Fund. Math. 61 (1967), 51-56. MR 36:5882
10. J. E. Jayne and C. A. Rogers, Analytic sets, ch. K-analytic sets, pp. 1-181, Academic Press, 1980.
11. J. Ka̧kol and S. A. Saxon, Montel (DF)-spaces, sequential (LM)-spaces and the strongest locally convex topology, J. London Math. Soc., 66 (2002), 388-406.
12. J. Ka̧kol and S. A. Saxon, The Fréchet-Urysohn property, (LM)-spaces and the strongest locally convex topology, Math. Proc. Royal Irish Acad. (to appear), 2003.
13. J. Ka̧kol and S. A. Saxon. The Fréchet-Urysohn view of weak and s-barrelledness, Bull. Belgian Math. Soc. (To appear), 2002.
14. p(X, E) as (LM)-spaces, Bull. Belgian Math. Soc. (To appear), 2002.
15. G. Köthe, Topological Vector Spaces I, Springer-Verlag, 1969. MR 40:1750
16. P. P. Narayanaswami and S. A. Saxon, (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology, Math. Ann. 274 (1986), no. 4, 627-641 MR 87j:46009
17. S. A. Saxon, Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology, Math. Ann. 197 (1972), 87-106. MR 46:4140
18. S. A. Saxon, Metrizable barrelled countable enlargements, Bull. London Math. Soc. 31 (1999), 711-718. MR 2000j:46008
19. M. Valdivia, Quasi-LB-spaces, J. London Math. Soc. (2) 35 (1987), no. 1, 149-168. MR 88b:46012