Results 21 to 30 of about 2,636,208 (102)
Analysis of the energy decay of a viscoelasticity type equation
In this paper, we study the evolution of the energy density of a sequence of solutions of a problem related to a viscoelasticity model where the viscosity term is a pseudo-differential operator of order 2α with α ∈ (0, 1).
Atallah-Baraket Amel, Trabelsi Maryem
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On k-quasi-M-hyponormal operators
In this present article we introduce a new class of operators which we will be called the class of k -quasi-M -hyponormal operators that includes hyponormal an M -hyponormal operators.
S. Mécheri
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Operator inequalities related to the Corach--Porta--Recht inequality [PDF]
We prove some refinements of an inequality due to X. Zhan in an arbitrary complex Hilbert space by using some results on the Heinz inequality. We present several related inequalities as well as new variants of the Corach--Porta--Recht inequality. We also
Conde, Cristian+2 more
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Scalar approximants of quadratic operators with applications
Among other results, we find the best scalar approximant of a quadratic operator with respect to the numerical radius and the operator norm. We use these results to give estimates for the numerical radii of products and commutators of quadratic operators.
A. Abu-Omar, P. Wu
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On strong orthogonality and strictly convex normed linear spaces [PDF]
We introduce the notion of strongly orthogonal set relative to an element in the sense of Birkhoff-James in a normed linear space to find a necessary and sufficient condition for an element $ x $ of the unit sphere $ S_{X}$ to be an exposed point of the ...
Jha, Kanhaiya+2 more
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Operator inequalities on Hilbert C^*-modules via the Cauchy-Schwarz inequality
By means of a new Cauchy-Schwarz inequality in the framework of a semi-inner product C ∗ -module over a unital C∗ -algebra, we discuss some operator inequalities on a Hilbert C ∗ module, for example, Kantorovich inequaity, Polya-Szego inequality, the ...
J. Fujii, M. Fujii, Y. Seo
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A posteriori analysis of the spectral element discretization of heat equation
In this paper, we present a posteriori analysis of the discretization of the heat equation by spectral element method. We apply Euler’s implicit scheme in time and spectral method in space.
Chorfi Nejmeddine+2 more
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Eigenvalue extensions of Bohr's inequality [PDF]
We present a weak majorization inequality and apply it to prove eigenvalue and unitarily invariant norm extensions of a version of the Bohr's inequality due to Vasi\'c and Ke\v{c}ki\'c.Comment: 8 pages, to appear in Linear Algebra ...
Jagjit Singh Matharu+3 more
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On generalized derivation in Banach spaces
In this paper we generalized two important results of B. P. Duggal [4, Theorem 2.1 and 2.6], and other results are also given. If B(X ) is the algebra of all bounded linear operators on a complex Banach space X and J (X )={x∈B(X ) : x = x1+ix2, where x1 ...
A. Mansour, S. Bouzenada
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Secondary metabolites are highly beneficial to human health and have commercial and industrial values. So, this research aimed to study the effects of exogenous salicylic acid (SA) and jasmonic acid (JA) on some secondary metabolites in purple coneflower.
Fatemeh Rasoli̇, M. Gholipoor
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