Open AccessApplication of Scalar Type Operators to Decomposability
Author(s) -
Adicka Daniel Onyango
Publication year - 2021
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2021/v36i730382
Subject(s) - resolvent , scalar (mathematics) , mathematics , pure mathematics , type (biology) , resolvent formalism , banach space , scalar multiplication , mathematical analysis , finite rank operator , geometry , ecology , biology
In this paper, we give some application of scalar type operators to Decomposibility. In particular, we show that if H is of (α, α + 1) type R and that it generates a strongly continuous group on a Banach space, then its resolvent is Decomposable hence scalar type.