Composition Operators on Generalized Fock Spaces of Slice Hyperholomorphic Functions
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DOI: 10.1007/s00006-020-1041-5
Abstract: In this paper, we study composition operators on generalized Fock spaces of slice hyperholomorphic functions. More precisely, some relationship for composition operators between the slice hyperholomorphic setting and the classical setting is explored to characterize… read more here.
Keywords: operators generalized; generalized fock; slice hyperholomorphic; fock spaces ... See more keywords
Dynamics of the Volterra-Type Integral and Differentiation Operators on Generalized Fock Spaces
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DOI: 10.1007/s00025-019-1123-7
Abstract: AbstractVarious dynamical properties of the differentiation and Volterra-type integral operators on generalized Fock spaces are studied. We show that the differentiation operator is always supercyclic on these spaces. We further characterize when it is hypercyclic,… read more here.
Keywords: operators generalized; type integral; generalized fock; differentiation ... See more keywords
Composition and Volterra-type inner derivations on the generalized Fock spaces
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DOI: 10.2298/fil2411707h
Abstract: A classical result of Calkin [3] says that the inner derivation maps the algebra of all bounded operators on a Hilbert space into the ideal of all compact operators if and only if the induced… read more here.
Keywords: fock spaces; composition; volterra type; generalized fock ... See more keywords