Results 11 to 20 of about 4,199,505 (352)
Antinormal Weighted Composition Operators [PDF]
Abstract and Applied Analysis, 2016 Letl2=L2N,μ, whereNis set of all positive integers andμis the counting measure whoseσ-algebra is the power set ofN. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert spacel2. We also determine a class of antinormal weighted composition operators on Hardy spaceH2D.
Dilip Kumar, Harish Chandra
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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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Subnormal composition operators [PDF]
Proceedings of the American Mathematical Society, 1988 Let C C be the composition operator on L 2 ( X , Σ , m ) {L^2}(X,\Sigma ,m) given by C f = f ∘ T Cf = f \circ T , where T T is a Σ
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A Novel Reliability Analysis Method for Fuzzy Multi-State Systems Considering Correlation
IEEE Access, 2019 Fuzzy multi-state systems (FMSSs) exist widely in practical engineering. It is usually difficult to evaluate the reliability of FMSSs because the reliability data is usually fuzzy due to the inaccuracy or imperfection of information, and there is often ...
Huiying Gao, Xiaoqiang Zhang
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Completely Continuous Composition Operators [PDF]
Transactions of the American Mathematical Society, 1994 Summary: A composition operator \(T_ b f= f\circ b\) is completely continuous on \(H^ 1\) if and only if \(| b|< 1\) a.e. If the adjoint operator \(T^*_ b\) is completely continuous on VMOA, then \(T_ b\) is completely continuous on \(H^ 1\). Examples are given to show that the converse fails in general.
Cima, Joseph A., Matheson, Alec
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Demonstratio Mathematica, 2014 In this paper, we consider the Nemytskii operator (Hf)(t) = h(t, f(t)), generated by a given function h. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded (p,2,α)-variation (with respect to a weight function α ...
Aziz Wadie
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Fredholm composition operators [PDF]
Proceedings of the American Mathematical Society, 1980 In this paper a necessary and sufficient condition for a composition operator C T {C_T} on L 2 [ 0 , 1 ] {L^2}[0,1] to be a Fredholm operator is given.
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Composition Operators and Endomorphisms [PDF]
Complex Analysis and Operator Theory, 2010 If $b$ is an inner function, then composition with $b$ induces an endomorphism, $ $, of $L^\infty(\mathbb{T})$ that leaves $H^\infty(\mathbb{T})$ invariant. We investigate the structure of the endomorphisms of $B(L^2(\mathbb{T}))$ and $B(H^2(\mathbb{T}))$ that implement $ $ through the representations of $L^\infty(\mathbb{T})$ and $H^\infty(\mathbb{T}
Courtney, Dennis +2 more
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An approach to elliptic equations with nonlinear gradient terms via a modulation framework
Bulletin of Mathematical Sciences, 2023 We consider a class of nonhomogeneous elliptic equations with fractional Laplacian and nonlinear gradient terms, namely [Formula: see text] in [Formula: see text], where [Formula: see text], [Formula: see text] is the nonlinearity, [Formula: see text ...
Lucas C. F. Ferreira, Wender S. Lagoin
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Composition operator induced by ?(z) = sz + t for which |s|?1, |t|<1 and |s|+|t|?1
مجلة بغداد للعلوم, 2010 We study in this paper the composition operator that is induced by ?(z) = sz + t. We give a characterization of the adjoint of composiotion operators generated by self-maps of the unit ball of form ?(z) = sz + t for which |s|?1, |t|
Baghdad Science Journal
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