Weak barrelledness for C(X) spaces

Journal of Mathematical Analysis and Applications

Volumn 297, Issue 2, 2004, Pages 495-505

  Ka̧kol, Jerzy ^a,b   Saxon, Stephen A ^c   Todd, Aaron R ^a  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b ADAM MICKIEWICZ UNIVERSITY   (Poland)

^c UNIVERSITY OF FLORIDA   (United States)

Author keywords

Cc(X) and Cp(X) spaces; Pseudocompact; Weak barrelledness

Indexed keywords

EID: 4444223403     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.03.015     Document Type: Article

References (34)

1. s(X) J. Math. Pures Appl. 52 1973 337-352
2. Ferrando J.C. Sánchez Ruiz L.M. On sequential barrelledness Arch. Math. 57 1991 597-605
3. Haydon R. Three examples in the theory of spaces of continuous functions C. R. Acad. Sci. Sér. A 276 1973 685-687
4. Ka̧kol J. Saxon S.A. The semi-Baire-like three-space problems Adv. Appl. Math. 25 2000 57-64
5. Ka̧kol J. Saxon S.A. The Fréchet-Urysohn view of weak and s-barrelledness Bull. Belgian Math. Soc. special volume in honor of De Kimpe and Van Hamme 2002 101-108
6. Ka̧kol J. Saxon S.A. Montel (DF)-spaces, sequential (LM)-spaces and the strongest locally convex topology J. London Math. Soc. 66 2002 388-406
7. c(X) Proc. Amer. Math. Soc. 132 2004 1703-1712
8. Ka̧kol J. Saxon S.A. Todd A.R. The analysis of Warner boundedness, Proc. Edinburgh Math. Soc., in press
9. Ka̧kol J. Saxon S.A. Todd A.R. Docile locally convex spaces Contemp. Math. 341 2004 73-78
10. Ka̧kol J. Śliwa W. Strongly Hewitt spaces Topology Appl. 119 2002 219-227
11. Köthe G. Topological Vector Spaces I 1969 Springer-Verlag
12. Kunen K. Weak P-points in N* Colloq. Math. Soc. János Bolyai 23 1980 741-749
13. c(T), Dissertation, Ludwig-Maximilians-Universität, München, 1979
14. Mazon J.M. Some classes of locally convex spaces Arch. Math. 38 1982 131-137
15. McCoy R.A. Todd A.R. Support spaces and P(K)points in the Stone-Čech compactification of the integers Southeast Asian Bull. Math. 20 1996 11-18
16. van Mill J. Sixteen topological types in βω\ω Topology Appl. 13 1982 43-57
17. Morris P.D. Wulbert D.E. Functional representations of topological algebras Pacific J. Math. 22 1967 323-337
18. Pérez Carreras P. Bonet J. Barrelled Locally Convex Spaces Math. Studies vol. 131 1987 North-Holland
19. Qiu J. Local completeness and dual local quasi-completeness Proc. Amer. Math. Soc. 129 2000 1419-1425
20. Ruess W. A Grothendieck representation for the completion of cones of continuous seminorms Math. Ann. 208 1974 71-90
21. Sánchez Ruiz L.M. Saxon S.A. Weak barrelledness conditions in: Brokate M. Siddiqi A.H. (Eds.) Functional Analysis with Current Applications in Science, Technology and Industry Pitman Res. Notes Math. Ser. vol. 377 1998 20-36 Longman
22. Saxon S.A. Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology Math. Ann. 197 1972 87-106
23. Saxon S.A. Narayanaswami P.P. (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology Math. Ann. 274 1986 627-641
24. Saxon S.A. Sánchez Ruiz L.M. Dual local completeness Proc. Amer. Math. Soc. 125 1997 1063-1070
25. Saxon S.A. Sánchez Ruiz L.M. Mackey weak barrelledness Proc. Amer. Math. Soc. 126 1998 3279-3282
26. Saxon S.A. Sánchez Ruiz L.M. Metrizable weak barrelledness and dimension Bull. Polish Acad. Sci. 49 2001 97-101
27. Saxon S.A. Sánchez Ruiz L.M. Three-space weak barrelledness J. Math. Anal. Appl. 270 2002 383-396
28. Saxon S.A. Sánchez Ruiz L.M. Reinventing weak barrelledness, preprint
29. Saxon S.A. Sánchez Ruiz L.M. Tweddle I. Countably enlarging weak barrelledness Note Mat. 17 1997 217-233
30. 0-barrelled spaces Adv. Math. 145 1999 230-238
31. Saxon S.A. Tweddle I. The fit and flat components of barrelled spaces Bull. Austral. Math. Soc. 51 1995 521-528
32. Tweddle I. Saxon S.A. Bornological enlargements Proc. Edinburgh Math. Soc. 46 2003 35-44
33. Todd A.R. Render H. Continuous function spaces, (db)-spaces and strongly Hewitt spaces, Topology Appl., in press
34. Sz-Nagy B. Introduction to Real Functions and Orthogonal Expansions 1965 Oxford Univ. Press