Application of Scalar Type Operators to Decomposability

Adicka Daniel Onyango

doi:10.9734/jamcs/2021/v36i730382

Research Article Open access CC BY 4.0

Application of Scalar Type Operators to Decomposability

Adicka Daniel Onyango

Journal of Advances in Mathematics and Computer Science · pp. 38–44 · Published 27 Aug 2021

10.9734/jamcs/2021/v36i730382

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.

Decomposable operators Bishop’s property

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Adicka Daniel Onyango (2021). Application of Scalar Type Operators to Decomposability. Journal of Advances in Mathematics and Computer Science , 38–44. https://doi.org/10.9734/jamcs/2021/v36i730382

Affiliations

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

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