A simple proof of a result of Abramovich and Wickstead

Zafer Ercan

Open Mathematics (2005)

  • Volume: 3, Issue: 2, page 242-244
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Zafer Ercan. "A simple proof of a result of Abramovich and Wickstead." Open Mathematics 3.2 (2005): 242-244. <http://eudml.org/doc/268850>.

@article{ZaferErcan2005,
abstract = {The paper presents a simple proof of Proposition 8 of [2], based on a new and simple description of isometries between CD 0-spaces.},
author = {Zafer Ercan},
journal = {Open Mathematics},
keywords = {CD0-spaces; Riesz isomorphisms; MSC (2000); 54C35; 46E25; positive isometries},
language = {eng},
number = {2},
pages = {242-244},
title = {A simple proof of a result of Abramovich and Wickstead},
url = {http://eudml.org/doc/268850},
volume = {3},
year = {2005},
}

TY - JOUR
AU - Zafer Ercan
TI - A simple proof of a result of Abramovich and Wickstead
JO - Open Mathematics
PY - 2005
VL - 3
IS - 2
SP - 242
EP - 244
AB - The paper presents a simple proof of Proposition 8 of [2], based on a new and simple description of isometries between CD 0-spaces.
LA - eng
KW - CD0-spaces; Riesz isomorphisms; MSC (2000); 54C35; 46E25; positive isometries
UR - http://eudml.org/doc/268850
ER -

References

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  1. [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 Zbl0792.46004
  2. [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. Zbl0885.46014
  3. [3] C.D. Aliprantis and O. Burkinshaw: Positive operators, Academic Press, New York, London, 1985. 
  4. [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. [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 Zbl1050.46022
  6. [6] V.G. Troitsky: “On CD 0(K)-spaces”, Vladikavkaz Mathematical Journal, Vo. 6(1), (2004), pp. 71–73. Zbl1096.46507

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