Results 31 to 40 of about 4,584,260 (359)
The Composition operator induced by a polynomial of degree n
In this paper, we characterize normal composition operators induced by holomorphic self-map , when and .Moreover, we study other related classes of operators, and then we generalize these results to polynomials of degree n.
Baghdad Science Journal
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Composition Operator on Bergman-Orlicz Space
Let denote the open unit disk in the complex plane and let denote the normalized area measure on . For and a twice differentiable, nonconstant, nondecreasing, nonnegative, and convex function on , the Bergman-Orlicz space is defined as ...
Jiang Zhijie, Cao Guangfu
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Hermitian composition operators on Hardy-Smirnov spaces
Let Ω be an open simply connected proper subset of the complex plane and φ an analytic self map of Ω. If f is in the Hardy-Smirnov space defined on Ω, then the operator that takes f to f º φ is a composition operator.
Gunatillake Gajath
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Skew-symmetric and essentially unitary operators via Berezin symbols
We characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols.
Altwaijry Najla +3 more
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Universal Sequences of Composition Operators
Let $G$ and $ $ be two planar domains. We give necessary and sufficient conditions on a sequence $( _n)$ of eventually injective holomorphic mappings from $G$ to $ $ for the existence of a function $f\in H( )$ whose orbit under the composition by $( _n)$ is dense in $H(G)$.
Charpentier, S., Mouze, Augustin
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Approximation numbers of composition operators on Hp
give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞
Li Daniel +2 more
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Jan Stochel, a stellar mathematician [PDF]
The occasion for this survey article was the 70th birthday of Jan Stochel, professor at Jagiellonian University, former head of the Chair of Functional Analysis and a prominent member of the Kraków school of operator theory.
Sameer Chavan +4 more
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Mapping Cones are Operator Systems
We investigate the relationship between mapping cones and matrix ordered *-vector spaces (i.e., abstract operator systems). We show that to every mapping cone there is an associated operator system on the space of n-by-n complex matrices, and furthermore
Johnston, Nathaniel, Størmer, Erling
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Inequalities for the composition of Green’s operator and the potential operator [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dai, Zhimin +3 more
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Composition-Differentiation Operator on the Bergman Space
We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we
K. O. Aloo, J. O. Bonyo, I. Okello
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