| Title:
|
An answer to a question of Cao, Reilly and Xiong (English) |
| Author:
|
Ercan, Z. |
| Author:
|
Onal, S. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
957-959 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present a simple proof of a Banach-Stone type Theorem. The method used in the proof also provides an answer to a conjecture of Cao, Reilly and Xiong. (English) |
| Keyword:
|
Riesz isomorphism |
| Keyword:
|
Banach lattices |
| Keyword:
|
Banach-Stone Theorem |
| MSC:
|
46B42 |
| MSC:
|
54C35 |
| idZBL:
|
Zbl 1164.46311 |
| idMR:
|
MR2261667 |
| . |
| Date available:
|
2009-09-24T11:40:04Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128120 |
| . |
| Reference:
|
[1] C. D. Aliprantis, O. Burkinshaw: Positive Operators.Academic Press, , 1985. MR 0809372 |
| Reference:
|
[2] J. Cao, I. Reilly, and H. Xiong: A lattice-valued Banach-Stone Theorem.Acta Math. Hungar. 98 (2003), 103–110. MR 1958470, 10.1023/A:1022861506272 |
| Reference:
|
[3] E. de Jonge, A. C. M. van Rooij: Introduction to Riesz Spaces. Mathematical Center Tracts Vol. 78.Mathematisch Centrum, Amsterdam, 1977. MR 0473777 |
| . |
