| Title:
|
Vector-valued sequence space $BMC(X)$ and its properties (English) |
| Author:
|
Bu, Qing-Ying |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
207-216 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a vector topology is introduced in the vector-valued sequence space $\text{\it BMC}\,(X)$ and convergence of sequences and sequentially compact sets in $\text{\it BMC}\,(X)$ are characterized. (English) |
| Keyword:
|
vector-valued sequence space |
| Keyword:
|
topology |
| Keyword:
|
series |
| Keyword:
|
compact sets |
| MSC:
|
40A05 |
| MSC:
|
46A05 |
| MSC:
|
46A45 |
| MSC:
|
46E40 |
| idZBL:
|
Zbl 0852.46006 |
| idMR:
|
MR1398996 |
| . |
| Date available:
|
2009-01-08T18:23:09Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118826 |
| . |
| Reference:
|
[1] Bu Q.Y.: Orlicz-Pettis type theorem for compact operators.Chinese Ann. of Math. 17A:1 (1996), 79-86. Zbl 0923.46007 |
| Reference:
|
[2] Li R.L., Bu Q.Y.: Locally convex spaces containing no copy of $c_0$.J. Math. Anal. Appl. 172:1 (1993), 205-211. MR 1199505 |
| Reference:
|
[3] Li R.L., Swartz C.: Spaces for which the uniform boundedness principle holds.Studia Sci. Math. Hungar. 27 (1992), 379-384. Zbl 0681.46001, MR 1218160 |
| Reference:
|
[4] Pietsch A.: Nuclear Locally Convex Spaces.Springer-Verlag, Berlin, 1972. Zbl 0308.47024, MR 0350360 |
| Reference:
|
[5] Wilansky A.: Modern Methods in Topological Vector Spaces.McGraw-Hill, New York, 1978. Zbl 0395.46001, MR 0518316 |
| . |
