Results 11 to 20 of about 414,180 (260)
Numerical Radius and Operator Norm Inequalities
Journal of Inequalities and Applications, 2009 A general inequality involving powers of the numerical radius for sums and products of Hilbert space operators is given. This inequality generalizes several recent inequalities for the numerical radius, and includes that if and are operators on a ...
Albadawi Hussien, Shebrawi Khalid
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Some properties of pre-quasi norm on Orlicz sequence space
Journal of Inequalities and Applications, 2020 In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
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$$\mu$$-Norm of an Operator [PDF]
Proceedings of the Steklov Institute of Mathematics, 2020 Let $({\cal X},\mu)$ be a measure space. For any measurable set $Y\subset{\cal X}$ let $1_Y : {\cal X}\to{\mathbb R}$ be the indicator of $Y$ and let $\pi_Y$ be the orthogonal projector $L^2({\cal X})\ni f\mapsto\pi_Y f = 1_Y f$. For any bounded operator $W$ on $L^2({\cal X},\mu)$ we define its $\mu$-norm $\|W\|_\mu = \inf_\chi\sqrt{\sum \mu(Y_j) \|W ...
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Remarks on the operator-norm convergence of the Trotter product formula [PDF]
, 2017 We revise the operator-norm convergence of the Trotter product formula for a pair {A,B} of generators of semigroups on a Banach space. Operator-norm convergence holds true if the dominating operator A generates a holomorphic contraction semigroup and B ...
Neidhardt, Hagen +2 more
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A note on Hardy-Littlewood maximal operators
Journal of Inequalities and Applications, 2016 In this paper, we will prove that, for 1 < p < ∞ $1 ...
Mingquan Wei +3 more
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Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices
Abstract and Applied Analysis, 2015 Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed.
Xiaoyu Jiang, Kicheon Hong
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Norm of Hilbert operator on sequence spaces
Journal of Inequalities and Applications, 2020 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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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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, 2010 Let (X,m) and (Y,n) be standard measure spaces. A function f in $L^\infty(X\times Y,m\times n)$ is called a (measurable) Schur multiplier if the map $S_f$, defined on the space of Hilbert-Schmidt operators from $L_2(X,m)$ to $L_2(Y,n)$ by multiplying ...
Shulman, V. S. +2 more
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Norm attaining operators [PDF]
Israel Journal of Mathematics, 1982 Every Banach space is isomorphic to a space with the property that the norm-attaining operators are dense in the space of all operators into it, for any given domain space. A super-reflexive space is arbitrarily nearly isometric to a space with this property.
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