Results 21 to 30 of about 220,336 (311)
Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
core +1 more source
Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3
For positive operators A and B with A invertible it is shown that (AB2A)½≤A2 implies (AB2A)¾≤ABA. The inequalities in the title for 0≤B≤A are then derived as a conquence.
Derming Wang
doaj +1 more source
On further refinements for Young inequalities
In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
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On the Positive Operator Solutions to an Operator Equation [PDF]
The necessary conditions and the sufficient condition for the existence of positive operator solutions to the operator equation Xs+A*X-tA=Q are established. An iterative method for obtaining the positive operator solutions is proposed.
Yang, Kai-Fan +2 more
openaire +1 more source
ON SOME INEQUALITIES FOR 𝜏 -MEASURABLE OPERATORS
This paper deals with the Choi’s inequality for measurable operators affiliated with a given von Neumann algebra. Some Young and Cauchy-Schwarz type inequalities for 𝜏 -measurable operators are also given.
S. M. Davarpanah +2 more
doaj +1 more source
Experiments with a Positivity-Preserving Operator [PDF]
We consider some multivariate rational functions which have (or are conjectured to have) only positive coefficients in their series expansion. We consider an operator that preserves positivity of series coefficients, and apply the inverse of this operator to the rational functions.
Manuel Kauers, Doron Zeilberger
openaire +3 more sources
Summary: We study the properties of positive-normal operators and show that Weyl's theorem holds for some totally positive-normal operators.
Jeon, In Ho +3 more
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Random positive operator valued measures [PDF]
We introduce several notions of random positive operator valued measures (POVMs), and we prove that some of them are equivalent. We then study statistical properties of the effect operators for the canonical examples, starting from the limiting ...
Jivulescu MA, Heinosaari T, Nechita I
core +1 more source
High order singular rank one perturbations of a positive operator
In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression L-alpha = L + psi are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space H with inner product , a is a real parameter ...
Dijksma, A +3 more
core +2 more sources
Boundary value problems for partial differential equations with piecewise contant delay
The influence of certain discontinuous delays on the behavior of solutions to some typical equations of mathematical physics is studied.
Joseph Wiener
doaj +1 more source

