International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 987068 | https://doi.org/10.1155/S0161171203210528

Marek Wójtowicz, "The lattice-isometric copies of (Γ) in quotients of Banach lattices", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 987068, 4 pages, 2003. https://doi.org/10.1155/S0161171203210528

The lattice-isometric copies of (Γ) in quotients of Banach lattices

Received29 Oct 2002

Abstract

Let E be a Banach lattice and let M be a norm-closed and Dedekind σ-complete ideal of E. If E contains a lattice-isometric copy of , then E/M contains such a copy as well, or M contains a lattice copy of . This is one of the consequences of more general results presented in this paper.

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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