Results 31 to 40 of about 434,525 (329)
Inequalities for the fractional convolution operator on differential forms
Journal of Inequalities and Applications, 2018 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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Electronic Journal of Qualitative Theory of Differential Equations, 2021 Sharp conditions are obtained for the unique solvability of focal boundary value problems for higher-order functional differential equations under integral restrictions on functional operators.
Eugene Bravyi
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On operator norms of submatrices
Linear Algebra and its Applications, 1981 AbstractBoth of the following conditions are equivalent to the absoluteness of a norm ν in Cn: (1) for all n×n diagonal matrices D=(dk), the subordinate operator norm Nν(D)=maxk|dk|; (2) for all n×n matrices A, Nν(A) ⩽Nν(|A|). These conditions are modified for partitioned matrices by replacing absolute values with norms of blocks.
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Probabilistic Norms for Linear Operators
Journal of Mathematical Analysis and Applications, 1998 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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A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure
Journal of Harbin University of Science and Technology, 2021 In this paper, a definition of non additive measure is given, which has F-addability; the Einstein calculater is optimized, and the λ-fuzzy quasiproduct operator and λ-fuzzy quasi sum operator with adjustable parameters for practical problems are ...
ZHAO Hui, ZHANG Xiao-xue, ZHANG Shao-xin
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Appropriate Inner Product for PT-Symmetric Hamiltonians
, 2017 A Hamiltonian $H$ that is not Hermitian can still have a real and complete energy eigenspectrum if it instead is $PT$ symmetric. For such Hamiltonians three possible inner products have been considered in the literature, the $V$ norm, the $PT$ norm, and ...
Mannheim, Philip D.
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Minimal norm Hankel operators [PDF]
, 2022 This paper has been has been accepted for publication in Proceedings of the ...
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Rough norms in spaces of operators [PDF]
Mathematische Nachrichten, 2017 We investigate sufficient and necessary conditions for the space of bounded linear operators between two Banach spaces to be rough or average rough. Our main result is that is δ‐average rough whenever is δ‐average rough and Y is alternatively octahedral.
Rainis Haller +2 more
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On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
Concrete Operators, 2023 In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander +2 more
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Regularity of the Hardy-Littlewood maximal operator on block decreasing functions
, 2009 We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Aldaz, J. M., Lazaro, J. Perez
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