SIMC 2019
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Browsing SIMC 2019 by Author "Bonyo, Job"
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- ItemDuality of the no reflexive Bergman space of the upper half plane and composition groups(Strathmore University, 2019-08) Omondi, Gori Erick; Bonyo, Job; Okoth, IsaacWe identify the predual of the non-reflexive Bergman space of the upper half plane, with the little Bloch space of the upper half plane consisting of functions vanishing at a point i. We then investigate both the semigroup and spectral properties of the adjoint groups of composition operators which are naturally obtained from the duality pairing and are therefore defined on the identified predual.
- ItemGroups of composition operators on Dirichlet spaces of the upper half-plane(Strathmore University, 2019-08) Agwang, Meshack; Bonyo, Job; Okoth, IsaacUsing the theory of similar semi groups, we undertake a complete analysis of groups SBS of composition operators on Dirichlet spaces. Specifically, we obtain both the semi group and spectral properties of groups of weighted composition operators implemented by automorphism groups of upper half—plane.
- ItemNorm properties of generalized derivations on norm ideals(Strathmore University, 2019-08) Muholo, Joshua; Bonyo, Job; Agure, JohnWe investigate the norm properties of a generalized derivation on a norm ideal J of B(H), the algebra of bounded linear operators on a Hilbert space H. Specifically, we extend the concept of S-universality from the inner derivation to the generalized derivation context. Further, we investigate the applications of the concept of S-universality.
- ItemSpectral properties of weighted composition semigroups on the Bloch space(Strathmore University, 2019-08) Mose, Samuel; Bonyo, Job; Okoth, IsaacWe determine both the semigroup and spectral properties of a group of weighted SBS composition operators on the Little Bloch space. It turns out that these are strongly continuous groups of invertible isometries on the Bloch space. We then obtain the norm and spectra of the infinitesimal generator as well as the resulting resolvents which are given as integral operators. Using the spectral mapping theorem as well as the Hille Yosida theorem we obtain the spectral properties of the resulting integral operators.