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dc.contributor.authorOdero, Beatrice Adhiambo
dc.contributor.authorAgure, J. O.
dc.contributor.authorNyamwala, F. O.
dc.date.accessioned2019-08-01T07:01:25Z
dc.date.available2019-08-01T07:01:25Z
dc.date.issued2019
dc.identifier.urihttp://repository.rongovarsity.ac.ke/handle/123456789/2002
dc.description.abstractLet H be an infinite dimensional complex Hilbert space and A, B ∈ B(H) where B(H) is the C ∗ -algebra of all bounded linear operators on H. Let MAB : B(H) → B(H) be a multiplication operator induced by A and B defined by MAB(X) = In this paper we show that the numerical range of multiplication operator is given by V (MAB/B(B(H))) = [S U∈U(H) W(U ∗AUB) −] − for all A, B ∈ B(H) and U a unitary operator on the algebra B(H) where V is the algebraic numerical range and W is the classical numerical range. The results obtained are an extension of the the work done by Barraa [4]. Mathematics Subject Classification: Primary 47A12, Secondary 47A30, 47B47en_US
dc.language.isoenen_US
dc.publisherInternational Journal of Mathematical Analysisen_US
dc.relation.ispartofseries;Vol. 13, 2019, no. 6, 283 - 292
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectNumerical range, Multiplication operator and unitary operatoren_US
dc.titleOn Numerical Range of Multiplication Operatoren_US
dc.typeArticleen_US


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