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Méthodes de réalisation de produit scalaire et de problème de moments avec maximisation d'entropie

100%

Girardin V.

Studia Mathematica

1997

tom 124

nr 3

199-213

We develop several methods of realization of scalar product and generalized moment problems. Constructions are made by use of a Hilbertian method or a fixed point method. The constructed solutions are rational fractions and exponentials of polynomials. They are connected to entropy maximization. We give the general form of the maximizing solution. We show how it is deduced from the maximizing solution of the algebraic moment problem.

On the dependence of the orthogonal projector on deformations of the scalar product

100%

Pasternak-Winiarski Z.

Studia Mathematica

1998

tom 128

nr 1

1-17

We consider scalar products on a given Hilbert space parametrized by bounded positive and invertible operators defined on this space, and orthogonal projectors onto a fixed closed subspace of the initial Hilbert space corresponding to these scalar products. We show that the projector is an analytic function of the scalar product, we give the explicit formula for its Taylor expansion, and we prove some algebraic formulas for projectors.

Ograniczanie wyników

2 Studia Mathematica

1 Girardin V.

1 Pasternak-Winiarski Z.

1 1998

1 1997

Wyniki wyszukiwania

Méthodes de réalisation de produit scalaire et de problème de moments avec maximisation d'entropie

On the dependence of the orthogonal projector on deformations of the scalar product