Journal of Advances in Mathematics and Computer Science

Application of Scalar Type Operators to Decomposability

Adicka Daniel Onyango *

Department of Mathematics, Actuarial and Physical Sciences, University of Kabianga, P.O.Box 2030-20200, Kericho, Kenya.

*Author to whom correspondence should be addressed.

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Abstract

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.

Keywords: Decomposable operators, Bishop’s property

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