Results 21 to 30 of about 434,525 (329)
Norms of Elementary Operators [PDF]
Irish Mathematical Society Bulletin, 2001 Let \(E\) be a Banach space that contains an infinite dimensional complemented subspace with a Schauder basis, and \(A\) an algebra of bounded operators on \(E\) that contains the finite rank operators and endowed with the operator norm. For a given elementary operator \(Ta=\sum_{i=1}^\ell a_iab_i\in \mathcal{E}\ell\) on \(A\), a new one is defined by \
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Norm Reduction of Averaging Operators [PDF]
Proceedings of the American Mathematical Society, 1972 Suppose ϕ : S → T \phi :S \to T is an irreducible map of compact Hausdorff spaces, and μ : T → M ( S ) \mu :T \to M(S) the integral representation of an averaging operator for ϕ \phi . We obtain an inequality of
H. B. Cohen, M. A. Labbe, J. Wolfe
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IET Control Theory & Applications, 2021 Because sampled‐data systems have h‐periodic nature with the sampling period h, an arbitrary Θ∈[0,h) is taken and the quasi L∞/L2 Hankel operator at Θ is defined as the mapping from L2(−∞,Θ) to L∞[Θ,∞). Its norm called the quasi L∞/L2 Hankel norm at Θ is
Tomomichi Hagiwara +2 more
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Norm Comparison Estimates for the Composite Operator
Journal of Function Spaces, 2014 This paper obtains the Lipschitz and BMO norm estimates for the composite operator 𝕄s∘P applied to differential forms. Here, 𝕄s is the Hardy-Littlewood maximal operator, and P is the potential operator.
Xuexin Li, Yong Wang, Yuming Xing
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A note on weighted bounds for rough singular integrals [PDF]
, 2017 We show that the $L^2(w)$ operator norm of the composition $M\!\circ T_{\Omega}$, where $M$ is the maximal operator and $T_{\Omega}$ is a rough homogeneous singular integral with angular part $\Omega\in L^{\infty}(S^{n-1})$, depends quadratically on $[w ...
Lerner, Andrei K.
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Fixed Point Theory and Applications, 2018 In this paper, we propose two strongly convergent algorithms which combines diagonal subgradient method, projection method and proximal method to solve split equilibrium problems and split common fixed point problems of nonexpansive mappings in a real ...
Anteneh Getachew Gebrie +1 more
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Tight computationally efficient approximation of matrix norms with applications
Open Journal of Mathematical Optimization, 2022 We address the problems of computing operator norms of matrices induced by given norms on the argument and the image space. It is known that aside of a fistful of “solvable cases”, most notably, the case when both given norms are Euclidean, computing ...
Juditsky, Anatoli +2 more
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Abstract and Applied Analysis, 2010 Operator norm and essential norm of an integral-type operator, recently introduced by this author, from the Dirichlet space to the Bloch-type space on the unit ball in ℂ𝑛 are calculated here.
Stevo Stević
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Journal of Inequalities and Applications, 2020 In this paper, we introduce a modified Krasnoselski–Mann type iterative method for capturing a common solution of a split mixed equilibrium problem and a hierarchical fixed point problem of a finite collection of k-strictly pseudocontractive nonself ...
Jong Kyu Kim, Prashanta Majee
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Volterra integral operator and essential norm on Dirichlet type spaces
AIMS Mathematics, 2021 In this paper, we study the boundedness and essential norm of Volterra integral operator $ V_g $ and integral operator $ S_g $ on Dirichlet type spaces $ {\mathcal{D}_{K, \alpha}} $.
Liu Yang, Ruishen Qian
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