Results 1 to 10 of about 20,529 (316)
New Schweizer Sklar Norm Picture Fuzzy Operator and Decision Application [PDF]
Jisuanji gongcheng, 2023 Existing picture fuzzy operational laws do not satisfy the closure and picture fuzzy aggregation operators, mostly aggregating the evaluation information through a single operator, which interferes with the comprehensive consideration of the relationship
WANG Lei, WANG Nan
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Time-dependent unbounded Hamiltonian simulation with vector norm scaling [PDF]
Quantum, 2021 The accuracy of quantum dynamics simulation is usually measured by the error of the unitary evolution operator in the operator norm, which in turn depends on certain norm of the Hamiltonian.
Dong An, Di Fang, Lin Lin
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Journal of Inequalities and Applications, 2021 For every linear operator between inner product spaces whose operator norm is less than or equal to one, we show that the restriction to the Möbius gyrovector space is Lipschitz continuous with respect to the Poincaré metric.
Keiichi Watanabe
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Norms of a Product of Integral and Composition Operators between Some Bloch-Type Spaces
Axioms, 2023 We present some formulas for the norm, as well as the essential norm, of a product of composition and an integral operator between some Bloch-type spaces of analytic functions on the unit ball, in terms of given symbols and weights.
Stevo Stević
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Proceedings of the American Mathematical Society, 1988 We give a short and elementary proof of the formula for the norm of a free convolution operator on L 2 {L^2} of a discrete group. The formula was obtained in 1976 by C. Akemann and Ph. Ostrand, and by several other authors afterwards.
Picardello, Massimo A., Pytlik, Tadeusz
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Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices
Communications in Advanced Mathematical Sciences, 2022 In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of
Elif Otkun Çevik
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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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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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Sum of some product-type operators from mixed-norm spaces to weighted-type spaces on the unit ball
AIMS Mathematics, 2022 Let $ u_{j} $ be the holomorphic functions on the open unit ball $ \mathbb{B} $ in $ \mathbb{C}^{n} $, $ j = \overline{0, m} $, $ \varphi $ a holomorphic self-map of $ \mathbb{B} $, and $ \Re^{j} $ the $ j $th iterated radial derivative operator. In this
Cheng-shi Huang +2 more
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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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