| Title:
|
On the class of b-L-weakly and order M-weakly compact operators (English) |
| Author:
|
Lhaimer, Driss |
| Author:
|
Moussa, Mohammed |
| Author:
|
Bouras, Khalid |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
145 |
| Issue:
|
3 |
| Year:
|
2020 |
| Pages:
|
255-264 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces. (English) |
| Keyword:
|
L-weakly compact operator |
| Keyword:
|
M-weakly compact operator |
| Keyword:
|
b-order bounded operator |
| Keyword:
|
b-weakly compact operator |
| Keyword:
|
b-L-weakly compact operator |
| Keyword:
|
order M-weakly compact operator |
| Keyword:
|
KB-space |
| MSC:
|
46B25 |
| MSC:
|
46B42 |
| MSC:
|
47B60 |
| MSC:
|
47B65 |
| idZBL:
|
07250709 |
| idMR:
|
MR4221833 |
| DOI:
|
10.21136/MB.2019.0116-18 |
| . |
| Date available:
|
2020-09-14T15:00:42Z |
| Last updated:
|
2021-04-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148348 |
| . |
| Reference:
|
[1] Aliprantis, C. D., Burkinshaw, O.: On weakly compact operators on Banach lattices.Proc. Am. Math. Soc. 83 (1981), 573-578. Zbl 0452.47038, MR 0627695, 10.2307/2044122 |
| Reference:
|
[2] Aliprantis, C. D., Burkinshaw, O.: Positive Operators.Springer, Dordrecht (2006). Zbl 1098.47001, MR 2262133, 10.1007/978-1-4020-5008-4 |
| Reference:
|
[3] Alpay, S., Altin, B., Tonyali, C.: On property (b) of vector lattices.Positivity 7 (2003), 135-139. Zbl 1036.46018, MR 2028377, 10.1023/A:1025840528211 |
| Reference:
|
[4] Alpay, S., Altin, B., Tonyali, C.: A note on Riesz spaces with property-$b$.Czech. Math. J. 56 (2006), 765-772. Zbl 1164.46310, MR 2291773, 10.1007/s10587-006-0054-0 |
| Reference:
|
[5] Dodds, P. G.: $o$-weakly compact mappings of Riesz spaces.Trans. Am. Math. Soc. 214 (1975), 389-402. Zbl 0313.46011, MR 0385629, 10.2307/1997114 |
| Reference:
|
[6] Meyer-Nieberg, P.: Über Klassen schwach kompakter Operatoren in Banachverbanden.Math. Z. 138 (1974), 145-159 German. Zbl 0291.47020, MR 0353053, 10.1007/BF01214230 |
| Reference:
|
[7] Meyer-Nieberg, P.: Banach Lattices.Universitext. Springer, Berlin (1991). Zbl 0743.46015, MR 1128093, 10.1007/978-3-642-76724-1 |
| Reference:
|
[8] Zaanen, A. C.: Riesz Spaces II.North-Holland Mathematical Library, Volume 30. North-Holland, Amsterdam (1983). Zbl 0519.46001, MR 0704021, 10.1016/s0924-6509(08)x7015-1 |
| . |
