Results 261 to 270 of about 221,597 (311)
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Numerical Algorithms, 2001
The authors construct a family of operators of Bernstein-Schoenberg type. The properties of the operators are derived mainly from the total positivity of B-spline bases. In particularly, the approximation property is studied.
GORI, Laura +2 more
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The authors construct a family of operators of Bernstein-Schoenberg type. The properties of the operators are derived mainly from the total positivity of B-spline bases. In particularly, the approximation property is studied.
GORI, Laura +2 more
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Extension of Positive Operators
Siberian Mathematical Journal, 2020The authors provide the monotone extension theorem for a positive linear operator \(T: E\to F\) from a majorizing subspace of a separable Fréchet space \(E\) to a locally solid vector lattice \(F\) enjoying the \(\sigma\)-interpolation property. This complements the celebrated Kantorovich theorem for \(T\) from an ordered vector space \(E\) to a ...
Ilina, K. Yu., Kusraeva, Z. A.
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Canadian Journal of Mathematics, 1956
1. Introduction. Semi-groups of bounded positive operators on certain function spaces enter the theory of stochastic processes of the diffusion type in an essential way. It is a matter of experience that these semi-groups cannot be imbedded in groups of positive operators, or, in more special terms, that the solution of a diffusion equation does not ...
Dye, H. A., Phillips, R. S.
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1. Introduction. Semi-groups of bounded positive operators on certain function spaces enter the theory of stochastic processes of the diffusion type in an essential way. It is a matter of experience that these semi-groups cannot be imbedded in groups of positive operators, or, in more special terms, that the solution of a diffusion equation does not ...
Dye, H. A., Phillips, R. S.
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Mathematical Proceedings of the Royal Irish Academy, 2015
Let \(E\) be a Banach lattice and let \(S\) and \(T\) be operators defined on \(E\) and satisfy \(0\leq S\leq T\). This paper gives some conditions under which \(S\) is a Riesz operator whenever \(T\) is a Riesz operator.
Koumba, U., Raubenheimer, H.
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Let \(E\) be a Banach lattice and let \(S\) and \(T\) be operators defined on \(E\) and satisfy \(0\leq S\leq T\). This paper gives some conditions under which \(S\) is a Riesz operator whenever \(T\) is a Riesz operator.
Koumba, U., Raubenheimer, H.
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On the Positiveness of the Inverse Operator
Mathematische Nachrichten, 1993\textit{J. E. Peris} [Linear Algebra Appl. 154--156, 45--58 (1991; Zbl 0734.15008)] proved, among other things, the following nice result. An invertible \(n\times n\) matrix \(M\) has a non-negative inverse if and only if for any decomposition \(M= A- B\) into the difference of two non- negative matrices \(A\) and \(B\), there exist a vector \(v> 0 ...
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Journal of the London Mathematical Society, 1983
Soit L n (h;x)=Σ ∞k=0 a nk g n,k (x)h(k/n). On cherche g n,k (x) unique de facon que L n soit un operateur positif lineaire approchant h dans un certain ...
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Soit L n (h;x)=Σ ∞k=0 a nk g n,k (x)h(k/n). On cherche g n,k (x) unique de facon que L n soit un operateur positif lineaire approchant h dans un certain ...
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ON FUNCTIONS OF A POSITIVE OPERATOR
Mathematics of the USSR-Sbornik, 1984For functions , 0$ SRC=http://ej.iop.org/images/0025-5734/47/1/A02/tex_sm_2628_img2.gif/>, nondecreasing, and a positive operator in a Banach space, the operators and are constructed, their products and superpositions are investigated and the moment inequality as well as other estimates are proved. The results are generalized to the case when does
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