Original Articles

THE REGULARITY OF ORDER BOUNDED OPERATORS INTO C(K)

Published in: Quaestiones Mathematicae
Volume 18 , issue 1-3 , 1995 , pages: 1–8

DOI: 10.1080/16073606.1995.9631785

Author(s): A.W. Wickstead Department of Pure Mathematics, Northern Ireland

Keywords: 47B65 , 46B42

Abstract

Fix a Banach lattice F and consider the following two problems. When are the order bounded operators into F necessarily regular? When do the regular operators into F necessarily form a lattice? We survey the known results in the cases that the domain is allowed to be any Banach lattice and in the case that it is restricted to be a separable Banach lattice.

« Preface

ON NON-UNIFORM CONDITIONS GIVING WEAK NORMAL STRUCTURE »