| Title:
|
On strongly preirresolute topological vector spaces (English) |
| Author:
|
Rajesh, N. |
| Author:
|
Vijayabharathi, V. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
138 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
37-42 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper we obtain several characteristics of pre-$T_2$ of strongly preirresolute topological vector spaces and show that the extreme point of a convex subset of a strongly preirresolute topological vector space $X$ lies on the boundary. (English) |
| Keyword:
|
topological vector space |
| Keyword:
|
strongly preirresolute vector space |
| MSC:
|
54C08 |
| MSC:
|
54C10 |
| MSC:
|
54C30 |
| MSC:
|
54H99 |
| idZBL:
|
Zbl 1274.54053 |
| idMR:
|
MR3076219 |
| DOI:
|
10.21136/MB.2013.143228 |
| . |
| Date available:
|
2013-03-02T18:49:59Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143228 |
| . |
| Reference:
|
[1] Horvath, J.: Topological Vector Spaces and Distributions.Addison-Wesley, London (1966). Zbl 0143.15101, MR 0205028 |
| Reference:
|
[2] Kar, A., Bhattacharyya, P.: Some weak separation axioms.Bull. Calcutta Math. Soc. 82 (1990), 415-422. Zbl 0736.54013, MR 1134225 |
| Reference:
|
[3] Mashhour, A. S., El-Monsef, M. E. Abd, El-Deep, S. N.: On precontinuous and weak precontinuous mappings.Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53. MR 0830896 |
| Reference:
|
[4] Mashhour, A. S., El-Monsef, M. E. Abd, Hasanein, I. A., Noiri, T.: Strongly compact spaces.Delta J. Sci. 8 (1984), 30-46. |
| Reference:
|
[5] Mashhour, A. S., EL-Monsef, M. E. Abd, Hasanein, A. I.: On pre-topological spaces.Bull. Math Soc. Sci. Math. R. S. Roumaine 28 (1984), 39-45. MR 0744748 |
| Reference:
|
[6] Reilly, I. L., Vamanamurthy, M. K.: On $\alpha$-continuity in topological spaces.Acta Math. Hung. 45 (1985), 27-32. Zbl 0576.54014, MR 0779514, 10.1007/BF01955019 |
| . |
