On Cd_0 (K)-spaces

Автор: Troitsky Vladimir Georgievich

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 1 т.6, 2004 года.

Бесплатный доступ

We present an elementary proof of the (known) fact that a CD_0(K)-space is a Banach lattice and is lattice isometrically isomorphic to a particular C(\widetilde{K}) for some compact space \widetilde{K}.

Короткий адрес: https://sciup.org/14318107

IDR: 14318107

Список литературы On Cd_0 (K)-spaces

  • Alpay S., Ercan Z. CD_0(K,E) and CD_\omega(K,E)-spaces as Banach lattices//Positivity.-2000.-V. 4 (3).-P. 213-225.-(Positivity and its applications (Ankara, 1998)).
  • Abramovich Y. A., Wickstead A. W. Regular operators from and into a small Riesz space//Indag. Math. N. S.-1991.-V. 2 (3).-P. 257-274.
  • Abramovich Y. A., Wickstead A. W. The regularity of order bounded operators into C(K). II//Quart. J. Math. Oxford Ser. 2.-1993.-V. 44 (175).-P. 257-270.
  • Abramovich Y. A., Wickstead A. W. Remarkable classes of unital AM-spaces//J. Math. Anal. Appl.-1993.-V. 180 (2).-P. 398-411.
  • Ercan Z. A concrete descreption of CD_0(K)-spaces as C(X)-spaces and its applications//Proc. Amer. Math. Soc.-2004.-V. 132-P. 1761-1763.
Статья научная