| Title:
|
A note on Riesz spaces with property-$b$ (English) |
| Author:
|
Alpay, Ş. |
| Author:
|
Altin, B. |
| Author:
|
Tonyali, C. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
765-772 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property. (English) |
| Keyword:
|
Riesz spaces |
| Keyword:
|
Banach lattices |
| Keyword:
|
$b$-property |
| MSC:
|
46B28 |
| MSC:
|
46B42 |
| idZBL:
|
Zbl 1164.46310 |
| idMR:
|
MR2291773 |
| . |
| Date available:
|
2009-09-24T11:37:50Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128103 |
| . |
| Reference:
|
[1] Ş. Alpay, B. Altın and C. Tonyalı: On property-$b$ of vector lattices.Positivity 7 (2003), 135–139. MR 2028377, 10.1023/A:1025840528211 |
| Reference:
|
[2] A. C. Zaanen: Riesz spaces II.North-Holland, 1983. Zbl 0519.46001, MR 0704021 |
| Reference:
|
[3] C. D. Aliprantis, O. Burkinshaw: Positive Operators.Academic Press, 1985. MR 0809372 |
| Reference:
|
[4] D. A. Birnbaum: Preregular maps between Banach lattices.Bull. Austral. Math. Soc. 11 (1974), 231–254. Zbl 0286.46015, MR 0367617, 10.1017/S0004972700043835 |
| Reference:
|
[5] H. H. Schaefer: Banach Lattices and Positive Operators.Springer, 1974. Zbl 0296.47023, MR 0423039 |
| Reference:
|
[6] F. Paneque and C. Piñeiro: A note on operator Banach spaces containing a complemented copy of $c_0$.Arch. Math. 75 (2000), 370–375. MR 1785445, 10.1007/s000130050517 |
| . |
