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On Characterization of Scalar Operators via Semigroup and the Associated Generators

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dc.contributor.author DO Adicka, PO Oleche
dc.date.accessioned 2020-08-25T08:33:52Z
dc.date.available 2020-08-25T08:33:52Z
dc.date.issued 2016
dc.identifier.uri https://repository.maseno.ac.ke/handle/123456789/2337
dc.description.abstract In this paper, we characterize the scalar operators by using the semigroup theory and the corresponding generators of (α, α + 1) type R operators. In particular, we show that if a densely defined operator H generates a contraction semigroup, then both H and H∗ are scalar operators and if H admits a U(Algebra of smooth functions) functional calculus of scalar type, then H∗ also admits a U functional calculus of scalar type. en_US
dc.publisher Hikari Ltd en_US
dc.subject Semigroup, (α, α + 1) type R operators en_US
dc.title On Characterization of Scalar Operators via Semigroup and the Associated Generators en_US
dc.type Article en_US


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