On Characterization of Scalar Operators via Semigroup and the Associated Generators
| 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 |