Countably enlarging weak barrelledness

Note di Matematica

Volumn 17, Issue 1, 1997, Pages 217-233

  Saxon, Stephen A ^a   Sánchezruiz, L M ^a   Tweddle, Ian ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000542722     PISSN: 11232536     EISSN: 15900932     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. L Amemiya and Y Komura, Über nicht vollstädndige Montclrdume, Mat. Ann, 177 (1968), 273-277.
2. S. Dicrolf, Über Vererhharkeitseigenschaften in topologischen Vektorräumen, Dissertation, Munchen, 1974
3. S. Dierolf, A note on the lifting of linear and locally convex topologies on a quotient space. Collect. Math. 31 (1980), 193-198.
4. E. K. van Douen, The integers and topology, Handbook of set-theoretic topology, (K, Kunen and J. E. Vaughn, edsj, North Holland 1984, pp. 111-168.
5. J. C. Ferrando, M. Lópe Pellicer and L. M Sánchez Ruiz, Metrizahle Barrelled Spaces, Pitman RNMS, vol. 332, Longman, 1995.
6. L C Ferrando and L. M Sanchez, Ruiz, On sequential barrel I edness Arch. Math. 57 (1991K 597-605.
7. M. Levin and S. Saxon, A note on the inheritance of properties of locally convex spaces by subspaces of countable codimension Proe. Amen Math. Soc. 29 (1971), 97-102
8. R Perez Carreras and J, Bonet, Barrelled Locally Convex Spaces, Math. Studies, vol. 131, North Holland, Amsterdam, 1987.
9. W k J. Robertson, S. A. Saxon and A, P. Robertson, Barrelled spaces and dense vector suhspaces. Bull. Austral. Math. Soc, 37 (1988), 383-388.
10. W. J, Robertson, L Tweddle and R E, Yeomans, On the stability of barrelled topologies, Bull. Austral. Math. Soc. 22 (1980), 99-112.
11. W. J. Robertson and F.E. Yeomans, On the stability of barrelled topologies, Bull. Austral Math. Soc. 20 (1979), 385-395.
12. L. M. Sánchez Ruiz and S. A. Saxon, Weak harrelledness conditions. Functional Analysis with Current Applications in Science, Technology and Industry, (M, Brokate and A. H. Siddiqi, eds.) Pitman RNMS, vol. 377, Longman, 1998, pp. 20,36
13. S. Saxon, Nuclear and product spaces. Baire-like spaces, and the strongest locally convex topology, Math. Ann. 197 (1972), 87-106.
14. S. A. Saxon, The codensity character of typological vector spaces Topological vector spaces, algebras and related areas, (A. Lau and I. Tweddle, eds.) Pitman RNMS, vol. 316, Longman, 1994, pp. 24-36.
15. S. A. Saxon, Metrizahle barrelled countable enlargements. Bull London Math, Soc. (1999), to appear.
16. S. A. Saxon and P. P. Naruyanaswami, (LF)-space, s quasi-Baire spaces and the strongest locally convex topology. Math. Ann. 274 (1986), 627-641
17. Slephcn A. Saxon and Wendy J, Robertson, Dense barrelled subspaces of uncountable codimensioiu Proc. Amen Math. Soc. 107 (1989), 1021-1029
18. S A. Saxon and L. M. Sanchez Ruiz, Optimalcardinals for melrizable barrelled spaces, J. London Math. Soc. 51 (1995), 137-147.
19. S. A. Saxon and L. M. Sanchez Ruiz, Barrelled countable enlargements and the bounding cardinal, J. London Math. Soc. 53 (1996), 158-166.
20. S. A. Saxon and L. ML Sanchez Ruiz, Barrelled countable enlargements and the dominating cardinal, Math. Anal, Appl. 203 (1996), 677-685
21. S. A. Saxon and L. M. Sanchez Ruiz, Dual local completeness, Proc. Amer. Math. Soc. 125(1997), 1063-1070.
22. S. A. Saxon and L. M, Sanchez Ruiz, Mackey weak barrelledness, Proc. Amen Math. Soc. 126(1998), 3279-3282.
23. S. A. Saxon and L. M Sanchez Ruiz, Reinventing weak barrelledness, preprint.
24. S. A. Saxon and L. M. Sanchez Ruiz, Three-space weak harrelledness, preprint.
25. S. A, Saxon and L. M. Sanchez Ruiz, Metrizable weak barrededness and dimension, preprint.
26. Stephen A. Saxon and Ian Tweddle, Mackey ft barrelled spaces, Adv. Math. 145 (1999), 230-238.
27. Stephen A. Saxon and Ian Tweddle, The Jit and flat components of barrelled spaces, Bull. Austral. Math. Soc. 51 (1995), 52N528.
28. S. Saxon and A. Wilansky, The equivalence of some Banach space problems, Colloq. Math. 37 (1977), 217-266.
29. I. Tweddle and K X. Catalan, Countable enlargements and weak barrelledness conditions, in: Topological vector spaces, algebras and related areas, (A. Lau and I. Tweddle, eds.) Pitman RNMS, vol. 316, Longman, 1994, pp. 56-65.
30. I. Tweddle, S, A. Saxon and L. M. Sanchez Ruiz, Barrelled countable enlargements, in: Topological vector spaces, algebras and related areas, (A. Lau and I. Tweddle, eds. Pitman RNMS, vol. 316, Longman, 1994, pp. 3-15.
31. Tweddle and F. E. Yeomans, On the stability of barrelled topologies IU Bull. Austral Math. Soc. 22(1980), 99-112