Composition and Decomposition of Positive Linear Operators (VIII)
In a series of papers, most of them authored or co-authored by H. Gonska, several authors investigated problems concerning the composition and decomposition of positive linear operators defined on spaces of functions.
Ana Maria Acu +2 more
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Differences of Positive Linear Operators on Simplices
The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators.
Ana-Maria Acu +2 more
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Resolvent Positive Linear Operators Exhibit the Reduction Phenomenon [PDF]
The spectral bound, s(a A + b V), of a combination of a resolvent positive linear operator A and an operator of multiplication V, was shown by Kato to be convex in b \in R.
Cantrell +15 more
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Tensor Products, Positive Linear Operators, and Delay-Differential Equations [PDF]
We develop the theory of compound functional differential equations, which are tensor and exterior products of linear functional differential equations. Of particular interest is the equation $\dot x(t)=-\alpha(t)x(t)-\beta(t)x(t-1)$ with a single delay,
Mallet-Paret, John, Nussbaum, Roger D.
core +1 more source
On Pompeiu-Cebysev type inequalities for positive linear maps of selfadjoint operators in inner product spaces [PDF]
In this work, generalizations of some inequalities for continuous $h$-synchronous ($h$-asynchronous) functions of linear bounded selfadjoint operators under positive linear maps in Hilbert spaces are proved.Comment: 12 pages.
Alomari, Mohammad W.
core +3 more sources
An analysis of the induced linear operators associated to divide and color models [PDF]
We study the natural linear operators associated to divide and color (DC) models. The degree of nonuniqueness of the random partition yielding a DC model is directly related to the dimension of the kernel of these linear operators.
Forsström, Malin Palö +1 more
core +2 more sources
Dobrushin ergodicity coefficient for Markov operators on cones, and beyond [PDF]
The analysis of classical consensus algorithms relies on contraction properties of adjoints of Markov operators, with respect to Hilbert's projective metric or to a related family of seminorms (Hopf's oscillation or Hilbert's seminorm).
Gaubert, Stéphane, Qu, Zheng
core +7 more sources
Hermite-Hadamard type inequalities for operator geometrically convex functions [PDF]
In this paper, we introduce the concept of operator geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for operators which give
Darvish, Vahid +3 more
core +2 more sources
Completely positive linear operators for Banach spaces
Using ideas of Pisier, the concept of complete positivity is generalized in a different direction in this paper, where the Hilbert space ℋ is replaced with a Banach space and its conjugate linear dual.
Mingze Yang
doaj +1 more source
Approximation by positive linear operators
Not available.
Ioan Gavrea
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