Results 21 to 30 of about 4,343 (301)
Spectral radius of S-essential spectra
Математичні Студії, 2020 In this paper, we study the spectral radius of some S-essential spectra of a bounded linear operator defined on a Banach space. More precisely, via the concept of measure of noncompactness,we show that for any two bounded linear operators $T$ and $S ...
C. Belabbaci
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Linear Matrix Inequality Approaches to Koopman Operator Approximation
CoRR, 2021 The regression problem associated with finding a matrix approximation of the Koopman operator from data is considered. The regression problem is formulated as a convex optimization problem subject to linear matrix inequality (LMI) constraints. Doing so allows for additional LMI constraints to be incorporated into the regression problem.
Steven Dahdah, James Richard Forbes
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Vallée-Poussin theorem for Hadamard fractional functional differential equations
Applied Mathematics in Science and Engineering, 2023 We propose necessary and sufficient conditions for the negativity of the two-point boundary value problem in the form of the Vallée-Poussin theorem about differential inequalities for the Hadamard fractional functional differential problem \[ \begin ...
Martin Bohner +4 more
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Further Inequalities for the Weighted Numerical Radius of Operators
Mathematics, 2022 This paper deals with the so-called A-numerical radius associated with a positive (semi-definite) bounded linear operator A acting on a complex Hilbert space H. Several new inequalities involving this concept are established.
Najla Altwaijry +2 more
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Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces [PDF]
, 2006 The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα ,β (T) := (T∗ −α I)(β I−T) , where α ,β ∈ C and T ∈ B(H), of the operators ...
S. S. Dragomir +2 more
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Some inequalities for convex functions of selfadjoint operators in Hilbert spaces [PDF]
, 2008 Some inequalities for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Sever S. Dragomir +2 more
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Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials [PDF]
, 2011 We deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights.
Roberta Musina +8 more
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Researches in Mathematics, 2019 We solve the Landau-Kolmogorov problem on finding sharp additive inequalities that estimate $\| f' \|_{\infty}$ in terms of $\| f \|_{\infty}$ and $\| f''' \|_1$.
D. Skorokhodov
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A note on the theorem on differential inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 2005 It is proved that if a linear operator $\ell:C([a,b];\mathbb{R})\rightarrow L([a,b];\mathbb{R})$ is nonpositive and for the initial value problem $$u''(t)=\ell(u)(t)+q(t),\quad u(a)=c_1,\quad u'(a)=c_2 $$ the theorem on differential inequalities is valid,
H. Stepankova
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The Furuta Inequality and an Operator Equation for Linear Operators
Publications of the Research Institute for Mathematical Sciences, 1999 We show that a special form of the Futura inequality is equivalent to an operator equation H^{\frac{p-2rn}{2(n+1)}} T (H^{\frac{p+2r}{n_+1}} T)^n H^{\frac{p-2_rn}{2(n+1)}} = K^p .
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