Results 1 to 10 of about 442 (46)
The Numerical Range of C*ψ Cφ and Cφ C*ψ
Concrete Operators, 2021 In this paper we investigate the numerical range of C*bφm Caφn and Caφn C*bφm on the Hardy space where φ is an inner function fixing the origin and a and b are points in the open unit disc.
Clifford John +2 more
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Disjoint diskcyclicity of weighted shifts
Open Mathematics, 2022 In this article, we will discuss disjoint diskcyclicity for finitely many operators acting on a separable, infinite dimensional Fréchet space XX. More precisely, we provide disjoint disk blow-up/collapse property and disjoint diskcyclicity criterion.
Wang Cui, Zhou Ze-Hua, Zhang Liang
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Simply connected topological spaces of weighted composition operators
Open Mathematics, 2020 In this paper, we prove that the topological spaces of nonzero weighted composition operators acting on some Hilbert spaces of analytic functions on the unit open ball are simply connected.
Tong Cezhong, Zhang Zhan, Xu Biao
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Spectra of Weighted Composition Operators with Quadratic Symbols
Concrete Operators, 2022 Previously, spectra of certain weighted composition operators W ѱ, φ on H2 were determined under one of two hypotheses: either φ converges under iteration to the Denjoy-Wolff point uniformly on all of 𝔻 rather than simply on compact subsets, or φ is ...
Doctor Jessica +4 more
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Hypercyclicity of Composition Operators on Orlicz Function Spaces
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
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Weighted composition operators on Hardy–Smirnov spaces
Concrete Operators, 2022 Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
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Compact weighted composition operators and fixed points in convex domains [PDF]
, 2006 We extend a classical result of Caughran/Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in n-dimensional complex space, m is a holomorphic function on D and bounded away from zero toward the boundary of
Clahane, Dana D.
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Concrete Operators, 2022 Let (X, 𝒜, μ) be a σ−finite measure space. A transformation ϕ : X → X is non-singular if μ ∘ ϕ−1 is absolutely continuous with respect with μ. For this non-singular transformation, the composition operator Cϕ: 𝒟(Cϕ) → L2(μ) is defined by Cϕf = f ∘ ϕ, f ∈
Zhou Hang
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Orthogonally additive and orthogonally multiplicative holomorphic functions of matrices [PDF]
, 2014 Let $H:M_m\to M_m$ be a holomorphic function of the algebra $M_m$ of complex $m\times m$ matrices. Suppose that $H$ is orthogonally additive and orthogonally multiplicative on self-adjoint elements.
Bu, Qingying +2 more
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Composition operators from ℬα to QK type spaces
Journal of Function Spaces, Volume 6, Issue 1, Page 88-104, 2008., 2008 Suppose that ϕ is an analytic self‐map of the unit disk Δ. Necessary and sufficient condition are given for the composition operator Cϕf = fοϕ to be bounded and compact from α‐Bloch spaces to QK type spaces which are defined by a nonnegative, nondecreasing function k(r) for 0 ≤ r < ∞.
Jizhen Zhou, Miroslav Englis
wiley +1 more source