### Some remarks an interpolation of operators and Fourier coefficients

Yoram Sagher (1972)

Studia Mathematica

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Yoram Sagher (1972)

Studia Mathematica

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Hsiang, Fu Cheng (1967)

Portugaliae mathematica

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Fernando Cobos, Teresa Signes (2000)

Publicacions Matemàtiques

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We establish interpolation formulæ for operator spaces that are components of a given quasi-normed operator ideal. Sometimes we assume that one of the couples involved is quasi-linearizable, some other times we assume injectivity or surjectivity in the ideal. We also show the necessity of these suppositions.

Yoram Sagher (1972)

Studia Mathematica

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E.I. Bereznoi, Mieczyslaw Mastylo (1990)

Publicacions Matemàtiques

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The problem of coincidence of the interpolation spaces obtained by use of the interpolation method of Gustavsson-Peetre generated by (parameters) quasi-concave functions is investigated. It is shown that a restriction of this method to the class of all non-trivial Banach couples gives different interpolation spaces whenever two different parameters satisfying some conditions are used.

A. K. Lerner, L. Liflyand (2003)

Collectanea Mathematica

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A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.

N. Kalton (1986)

Studia Mathematica

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Gunnar Sparr (1978)

Studia Mathematica

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Fernando Cobos, Jaak Peetre (1989)

Studia Mathematica

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M. Skendžić, B. Stanković (1976)

Studia Mathematica

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Jaak Peetre (1970)

Studia Mathematica

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