On gap between closed operators
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Date
2023-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
University of M'sila
Abstract
The goal of this memory is to introduce the notion between two closed operators on Banach
spaces.
In this memory we present the concept of gap between two closed operators on Banach spaces
introduced by Kato and give its proprieties, He proved that if T and S are two closed linear
operators from X into Y , the "distance" between T and S will be measured in terms of the
"gap" between the linear subspaces (graphs of S and T) G(T) and G(S) of the product normed
space X × Y .
Description
Keywords
(Linear operator, Gap, Graph.)