Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9496003 | Journal of Functional Analysis | 2005 | 16 Pages |
Abstract
Let T be an extension of a one to one normal operator A by a nilpotent operator N. In this paper we calculate the defect of reflexivity of T. We give a necessary and sufficient condition to insure the reflexivity of such extensions. In particular, it is shown that T is reflexive when N is reflexive.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M'hammed Benlarbi Delai, Omar El-Fallah,