Results 21 to 30 of about 770,686 (284)
Norm of Hilbert operator on sequence spaces
In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.
Hadi Roopaei
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Probabilistic Norms for Linear Operators
Let \(V_1\) and \(V_2\) be probabilistic normed (PN) spaces, and \(L\) the space of all linear operators \(T: V_1\to V_2\). The authors study the following subsets of \(L\): \(L_b\) probabilistic bounded operators, \(L_c\) continuous operators and \(L_{bc}= L_b\cap L_c\). They work with the Sibley metric on the space of distribution functions.
B. Lafuerza Guillén +2 more
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The norm of a truncated Toeplitz operator [PDF]
We prove several lower bounds for the norm of a truncated Toeplitz operator and obtain a curious relationship between the $H^2$ and $H^{\infty}$ norms of functions in model spaces.
Garcia, Stephan Ramon, Ross, William T.
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Unitarily invariant norms on operators
Let $f$ be a symmetric norm on ${\mathbb R}^n$ and let ${\mathcal B}({\mathcal H})$ be the set of all bounded linear operators on a Hilbert space ${\mathcal H}$ of dimension at least $n$. Define a norm on ${\mathcal B}({\mathcal H})$ by $\|A\|_f = f(s_1(A), \dots, s_n(A))$, where $s_k(A) = \inf\{\|A-X\|: X\in {\mathcal B}({\mathcal H}) \hbox{ has rank ...
Chan, Jor-Ting, Li, Chi-Kwong
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On absolutely norm attaining operators [PDF]
Submitted to a ...
D Venku Naidu, G Ramesh
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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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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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Directional operators and mixed norms [PDF]
We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calder'on and Zygmund), X-ray transforms, and directional fractional operators related to Riesz type potentials with variable kernel.
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Inequalities for the fractional convolution operator on differential forms
The purpose of this paper is to derive some Coifman type inequalities for the fractional convolution operator applied to differential forms. The Lipschitz norm and BMO norm estimates for this integral type operator acting on differential forms are also ...
Zhimin Dai, Huacan Li, Qunfang Li
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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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