| Title:
|
Direct limit of matricially Riesz normed spaces (English) |
| Author:
|
Ramani, J. V. |
| Author:
|
Karn, Anil K. |
| Author:
|
Yadav, Sunil |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
175-187 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, the $\Cal F$-Riesz norm for ordered $\Cal F$-bimodules is introduced and characterized in terms of order theoretic and geometric concepts. Using this notion, $\Cal F$-Riesz normed bimodules are introduced and characterized as the inductive limits of matricially Riesz normed spaces. (English) |
| Keyword:
|
Riesz norm |
| Keyword:
|
matricially Riesz normed space |
| Keyword:
|
positively bounded |
| Keyword:
|
absolutely $\Cal F$-convex |
| Keyword:
|
$\Cal F$-Riesz norm |
| MSC:
|
46B28 |
| MSC:
|
46H25 |
| MSC:
|
46L07 |
| idZBL:
|
Zbl 1150.46330 |
| idMR:
|
MR2223967 |
| . |
| Date available:
|
2009-05-05T16:55:34Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119574 |
| . |
| Reference:
|
[1] Choi M.D., Effros E.G.: Injectivity and operator spaces.J. Funct. Anal. 24 (1977), 156-209. Zbl 0341.46049, MR 0430809 |
| Reference:
|
[2] Effros E.G., Ruan Z.J.: On matricially normed spaces.Pacific J. Math. 132 2 (1988), 243-264. Zbl 0686.46012, MR 0934168 |
| Reference:
|
[3] Karn A.K.: Approximate matrix order unit spaces.Ph.D. Thesis, University of Delhi, Delhi, 1997. Zbl 0902.46030 |
| Reference:
|
[4] Karn A.K., Vasudevan R.: Approximate matrix order unit spaces.Yokohama Math. J. 44 (1997), 73-91. Zbl 0902.46030, MR 1453353 |
| Reference:
|
[5] Karn A.K., Vasudevan R.: Characterization of matricially Riesz normed spaces.Yokohama Math. J. 47 (2000), 143-153. Zbl 0965.46002, MR 1763778 |
| Reference:
|
[6] Ramani J.V., Karn A.K., Yadav S.: Direct limit of matrix ordered spaces.Glasnik Matematicki 40 2 (2005), 303-312. Zbl 1098.46044, MR 2189476 |
| Reference:
|
[7] Ruan Z.J.: Subspaces of $C^\ast $-algebras.J. Funct. Anal. 76 (1988), 217-230. Zbl 0646.46055, MR 0923053 |
| . |
