Bands in lattices of operators-Reference-Cited by-同舟云学术

Bands in lattices of operators

Published:1996 Issue:12 Volume:124 Page:3835-3841
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Huijsmans C.,Wickstead A.

Abstract

We consider the lattice of regular operators on a Dedekind complete Banach lattice. We show that in general the projection onto a band generated by a lattice homomorphism need not be continuous and that the principal bands need not be closed for the operator norm. In fact it is possible to find a convergent sequence of operators all the members of which are disjoint from the limit.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-12/S0002-9939-96-03547-2/S0002-9939-96-03547-2.pdf

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