Results 21 to 30 of about 378 (30)

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, Goldstein, Gisèle Ruiz, Goldstein, Jerome A., Romanelli, Silvia   +3 more
core   +1 more source

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
core  

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
core   +1 more source

Jensen's Operator Inequality

, 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.
core   +1 more source

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
core   +1 more source

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
core   +1 more source

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
core   +1 more source

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, Dragomir, Silvestru Sever   +1 more
core  

Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. [PDF]

Math Ann
Agresti A, Luongo E.
europepmc   +1 more source

Operator means, barycenters, and fixed point equations. [PDF]

Acta Sci Math
Virosztek D.
europepmc   +1 more source