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Article

Ercan, Z. ; Onal, S.
An answer to a question of Cao, Reilly and Xiong. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 3, pp. 957-959
MSC: 46B42, 54C35 | MR 2261667 | Zbl 1164.46311
Keywords:
Riesz isomorphism; Banach lattices; Banach-Stone Theorem
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.
References:
[1] C. D.  Aliprantis, O.  Burkinshaw: Positive Operators. Academic Press, , 1985. MR 0809372
[2] J.  Cao, I.  Reilly, and H.  Xiong: A lattice-valued Banach-Stone Theorem. Acta Math. Hungar. 98 (2003), 103–110. DOI 10.1023/A:1022861506272 | MR 1958470
[3] E.  de Jonge, A. C. M.  van Rooij: Introduction to Riesz Spaces. Mathematical Center Tracts Vol. 78. Mathematisch Centrum, Amsterdam, 1977. MR 0473777
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