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Sard's approximation processes and oblique projections

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Corach G., Giribet J., Maestripieri A.

Studia Mathematica

2009

tom 194

nr 1

65-80

Three problems arising in approximation theory are studied. These problems have already been studied by Arthur Sard. The main goal of this paper is to use geometrical compatibility theory to extend Sard's results and get characterizations of the sets of solutions.

Weighted projections into closed subspaces

100%

Corach G., Fongi G., Maestripieri A.

Studia Mathematica

2013

tom 216

nr 2

131-148

We study A-projections, i.e. operators on a Hilbert space 𝓗 which act as projections when a seminorm is considered in 𝓗. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of 𝓗. We also study the relationship between weighted least squares problems and compatibility.

Ograniczanie wyników

2 Studia Mathematica

2 Corach G.

2 Maestripieri A.

1 Fongi G.

1 Giribet J.

1 2013

1 2009

Wyniki wyszukiwania

Sard's approximation processes and oblique projections

Weighted projections into closed subspaces