A simple proof of a result of Abramovich and Wickstead
Zafer Ercan
Open Mathematics, Tome 3 (2005), p. 242-244 / Harvested from The Polish Digital Mathematics Library
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The paper presents a simple proof of Proposition 8 of [2], based on a new and simple description of isometries between CD 0-spaces.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:268850 
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     author = {Zafer Ercan},
     title = {A simple proof of a result of Abramovich and Wickstead},
     journal = {Open Mathematics},
     volume = {3},
     year = {2005},
     pages = {242-244},
     zbl = {1123.46023},
     language = {en},
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Zafer Ercan. A simple proof of a result of Abramovich and Wickstead. Open Mathematics, Tome 3 (2005) pp. 242-244. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02479199/

[1] Y.A. Abramovich and A.W. Wickstead: “Remarkable classes of unitial AM-spaces”, J. of Math. Analysis and Appl., Vol. 180, (1993), pp. 398–411. http://dx.doi.org/10.1006/jmaa.1993.1408 | Zbl 0792.46004

[2] Y.A. Abramovich and A.W. Wickstead: “A Banach-Stone Theorem for a New Class of Banach Spaces”, Indiana University Mathematical Journal, Vol. 45, (1996), pp. 709–720. | Zbl 0885.46014

[3] C.D. Aliprantis and O. Burkinshaw: Positive operators, Academic Press, New York, London, 1985.

[4] S. Alpay and Z. Ercan: “ CD 0(K, E) and CD w(K, E) spaces as Banach lattices”, Positivity, Vol. 3, (2000), pp. 213–225. http://dx.doi.org/10.1023/A:1009878527795

[5] Z. Ercan: “A concrete desription of CD 0(K)-spacesas C(X)-spaces and its applications”, Proc. Amer. Math. Soc., Vol. 132, (2004), pp. 1761–1763. http://dx.doi.org/10.1090/S0002-9939-03-07235-6 | Zbl 1050.46022

[6] V.G. Troitsky: “On CD 0(K)-spaces”, Vladikavkaz Mathematical Journal, Vo. 6(1), (2004), pp. 71–73. | Zbl 1096.46507