Results 21 to 30 of about 394 (31)

Linear Fractional PDE, Uniqueness of Global Solutions [PDF]

open access: yes, 2005
Mathematics Subject Classification: 26A33, 47A60, 30C15.In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations.
Kempfle, Siegmar   +2 more
core  

Exponentials of Normal Operators and Commutativity of Operators: A New Approach

open access: yes, 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

Asymptotic parabolicity for strongly damped wave equations

open access: yes, 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
core   +1 more source

Further refinements of the Cauchy-Schwarz inequality for matrices [PDF]

open access: yes, 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  

Some operator Bellman type inequalities

open access: yes, 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

Jensen's Operator Inequality

open access: yes, 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

Remarks on functional calculus for perturbed first order Dirac operators

open access: yes, 2013
We make some remarks on earlier works on $R-$bisectoriality in $L^p$ of perturbed first order differential operators by Hyt\"onen, McIntosh and Portal. They have shown that this is equivalent to bounded holomorphic functional calculus in $L^p$ for $p$ in
N Kalton   +4 more
core   +1 more source

Fractional Powers of Almost Non-Negative Operators [PDF]

open access: yes, 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
core  

Noncommutative Chebyshev inequality involving the Hadamard product

open access: yes, 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
core  

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