Results 31 to 40 of about 441 (58)
Asymptotic parabolicity for strongly damped wave equations
, 2013 For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni +3 more
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, 2002 We establish what we consider to be the definitive versions of Jensen's operator inequality and Jensen's trace inequality for functions defined on an interval.
Hansen, Frank, Pedersen, Gert K.
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Further refinements of the Cauchy-Schwarz inequality for matrices [PDF]
, 2014 Let $A, B$ and $X$ be $n\times n$ matrices such that $A, B$ are positive semidefinite. We present some refinements of the matrix Cauchy-Schwarz inequality by using some integration techniques and various refinements of the Hermite--Hadamard inequality ...
Bakherad, Mojtaba
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Some operator Bellman type inequalities
, 2015 In this paper, we employ the Mond--Pe\v{c}ari\'c method to establish some reverses of the operator Bellman inequality under certain conditions. In particular, we show \begin{equation*} \delta I_{\mathscr K}+\sum_{j=1}^n\omega_j\Phi_j\left((I_{\mathscr H}-
Bakherad, Mojtaba, Morassaei, Ali
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Exponentials of Normal Operators and Commutativity of Operators: A New Approach
, 2011 We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space.
Mortad, Mohammed Hichem
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Exponentials of Bounded Normal Operators
, 2012 The present paper is mainly concerned with equations involving exponentials of bounded normal operators. Conditions implying commutativity of those normal operators are given. This is carried out without the known $2\pi i$-congruence-free hypothesis.
Chaban, Aicha, Mortad, Mohammed Hichem
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Generation of subordinated holomorphic semigroups via Yosida's theorem
, 2014 Using functional calculi theory, we obtain several estimates for $\|\psi(A)g(A)\|$, where $\psi$ is a Bernstein function, $g$ is a bounded completely monotone function and $-A$ is the generator of a holomorphic $C_0$-semigroup on a Banach space, bounded ...
Gomilko, Alexander, Tomilov, Yuri
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Estimates for functions of the Laplacian on manifolds with bounded geometry
, 2008 In this paper we consider a complete connected noncompact Riemannian manifold M with Ricci curvature bounded from below and positive injectivity radius. Denote by L the Laplace-Beltrami operator on M.
Mauceri, G., Meda, S., Vallarino, M.
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Fractional Powers of Almost Non-Negative Operators [PDF]
, 2005 Mathematics Subject Classification: Primary 47A60, 47D06.In this paper, we extend the theory of complex powers of operators to a class of operators in Banach spaces whose spectrum lies in C \ ]−∞, 0[ and whose resolvent satisfies an estimate ||(λ + A ...
Martínez, Celso +2 more
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Noncommutative Chebyshev inequality involving the Hadamard product
, 2018 We present several operator extensions of the Chebyshev inequality for Hilbert space operators. The main version deals with the synchronous Hadamard property for Hilbert space operators.
Bakherad, Mojtaba +1 more
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