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Unitary extensions of isometries, generalized interpolation and band extensions

100%

Arocena R.

Banach Center Publications

1997

tom 38

nr 1

17-23

The aim of this paper is to give a very brief account of some applications of the method of unitary extensions of isometries to interpolation and extension problems.

On a general bidimensional extrapolation problem

63%

Arocena R., Montana F.

Colloquium Mathematicum

1993

tom 64

nr 1

3-12

Several generalized moment problems in two dimensions are particular cases of the general problem of giving conditions that ensure that two isometries, with domains and ranges contained in the same Hilbert space, have commutative unitary extensions to a space that contains the given one. Some results concerning this problem are presented and applied to the extension of functions of positive type.

A refinement of the Helson-Szegö theorem and the determination of the extremal measures

44%

Arocena R.

Studia Mathematica

1981-1982

tom 71

nr 2

203-221

Ograniczanie wyników

1 Banach Center Publications

1 Colloquium Mathematicum

1 Studia Mathematica

3 Arocena R.

1 Montana F.

1 1997

1 1993

1 1981

Wyniki wyszukiwania

Unitary extensions of isometries, generalized interpolation and band extensions

On a general bidimensional extrapolation problem

A refinement of the Helson-Szegö theorem and the determination of the extremal measures