Add to ORKGLet A be a linear bounded operator from a couple X = (X0, X1) to a couple Y = (Y0, Y1) such that the restrictions of A on the spaces X0 and X1 have bounded inverses. This condition does not imply that the restriction of A on the real interpolation space (X0, X1)θ,q has a bounded inverse for all values of the parameters θ and q. In this paper under some conditions on the kernel of A we describe all spaces (X0, X1)θ,q such that the operator A: (x0, X1)θ,q → (Y0, Y1) has a bounded inverse. Key words: real interpolation, invertible operators. 2000 Mathematics Subject Classification: Primary 46B70, Secondary 46M35
This note comprises a synthesis of certain results in the theory of exact interpolation between Hilb...
AbstractLet (A0, A1) and (B0, B1) be two interpolation couples and let T:(A0, A1)↦ (B0, B1) be a K-q...
Let (A0, A1) and (B0, B1) be couples of quasi-Banach spaces and let T be a linear operator. We prove...
Let A be a linear bounded operator from a couple ~X = (X0, X1) to a couple ~Y = (Y0, Y1) such that t...
Let A be a linear bounded operator from a couple X = (X0,X1) to a couple Y = (Y0; Y1) such that the ...
Let (Y0, Y1) be a Banach couple and let Xj be a closed complemented subspace of Yj ; (j = 0; 1). We ...
and deep admiration for his useful and creative work during the last 40 years We establish interpola...
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
summary:The boundedness properties of commutators for operators are of central importance in Mathema...
AbstractWe develop the real interpolation theory for operator spaces. We show that the main theorems...
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
We establishin terpolation formulæ for operator spaces that are components of a given quasi-normed o...
AbstractLet X,Y be normed linear spaces, T∈L(X,Y) be a bounded linear operator from X to Y. One want...
Abstract. The goal of this paper is to give applications of interpolation operators, with a special ...
This note comprises a synthesis of certain results in the theory of exact interpolation between Hilb...
This note comprises a synthesis of certain results in the theory of exact interpolation between Hilb...
AbstractLet (A0, A1) and (B0, B1) be two interpolation couples and let T:(A0, A1)↦ (B0, B1) be a K-q...
Let (A0, A1) and (B0, B1) be couples of quasi-Banach spaces and let T be a linear operator. We prove...
Let A be a linear bounded operator from a couple ~X = (X0, X1) to a couple ~Y = (Y0, Y1) such that t...
Let A be a linear bounded operator from a couple X = (X0,X1) to a couple Y = (Y0; Y1) such that the ...
Let (Y0, Y1) be a Banach couple and let Xj be a closed complemented subspace of Yj ; (j = 0; 1). We ...
and deep admiration for his useful and creative work during the last 40 years We establish interpola...
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
summary:The boundedness properties of commutators for operators are of central importance in Mathema...
AbstractWe develop the real interpolation theory for operator spaces. We show that the main theorems...
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
We establishin terpolation formulæ for operator spaces that are components of a given quasi-normed o...
AbstractLet X,Y be normed linear spaces, T∈L(X,Y) be a bounded linear operator from X to Y. One want...
Abstract. The goal of this paper is to give applications of interpolation operators, with a special ...
This note comprises a synthesis of certain results in the theory of exact interpolation between Hilb...
This note comprises a synthesis of certain results in the theory of exact interpolation between Hilb...
AbstractLet (A0, A1) and (B0, B1) be two interpolation couples and let T:(A0, A1)↦ (B0, B1) be a K-q...
Let (A0, A1) and (B0, B1) be couples of quasi-Banach spaces and let T be a linear operator. We prove...