A simple proof of a result of Abramovich and Wickstead

• Autorzy: Zafer Ercan
• Języki publikacji: EN

Abstrakty

EN

The paper presents a simple proof of Proposition 8 of [2], based on a new and simple description of isometries between CD 0-spaces.

Słowa kluczowe

EN

CD0-spaces; Riesz isomorphisms; MSC (2000); 54C35; 46E25

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2005
• Tom: 3
• Numer: 2
• Strony: 242-244

Daty

wydano

2005-06-01

online

2005-06-01

Twórcy

autor

Zafer Ercan

• Middle East Technical University

Bibliografia

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

Identyfikatory

DOI

10.2478/BF02479199