Let (A0, A1) and (B0, B1) be couples of quasi-Banach spaces and let T be a linear operator. We prove that if T : A0 → B0 is compact and T : A1 → B1 is bounded, then T : (A0, A1)θ,q → (B0, B1)θ,q is also compact. Some results on the structure of minimal and maximal interpolation methods are also established.Godkänd; 1998; 20070110 (evan)</p
Let (Y0, Y1) be a Banach couple and let Xj be a closed complemented subspace of Yj ; (j = 0; 1). We ...
Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compac...
AbstractWe describe a new approach to interpolate by the complex method quasi-Banach couples formed ...
AbstractWe prove that if T: A0 → B0 is compact and T: A1 → B1 is compact (or T: A1 → B1 is bounded a...
We study the interpolation properties of compact bilinear operators by the general real method among...
AbstractWe prove that if T: A0 → B0 is compact and T: A1 → B1 is compact (or T: A1 → B1 is bounded a...
The paper shows that, if the operator T:A(c)!B(c) is compact for almost every c ‘C, then T:F(Aa)! F(...
We show abstract versions for Banach couples of several limiting compact interpolation theorems esta...
We show abstract versions for Banach couples of several limiting compact interpolation theorems esta...
We establish compactness interpolation results for bilinear operators of convolution type and for op...
Let (A0;A1) be a Banach couple, (B0;B1) a quasi-Banach couple, 0 B0 is bounded and T : A1 -> B1 is ...
We study the behavior of the ball measure of non-compactness under several interpolation methods. Fi...
AbstractThis paper is concerned with compactness for some topologies on the collection of bounded li...
In this thesis we study extension results related to compact bilinear operators in the setting of in...
Let A be a linear bounded operator from a couple ~X = (X0, X1) to a couple ~Y = (Y0, Y1) such that t...
Let (Y0, Y1) be a Banach couple and let Xj be a closed complemented subspace of Yj ; (j = 0; 1). We ...
Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compac...
AbstractWe describe a new approach to interpolate by the complex method quasi-Banach couples formed ...
AbstractWe prove that if T: A0 → B0 is compact and T: A1 → B1 is compact (or T: A1 → B1 is bounded a...
We study the interpolation properties of compact bilinear operators by the general real method among...
AbstractWe prove that if T: A0 → B0 is compact and T: A1 → B1 is compact (or T: A1 → B1 is bounded a...
The paper shows that, if the operator T:A(c)!B(c) is compact for almost every c ‘C, then T:F(Aa)! F(...
We show abstract versions for Banach couples of several limiting compact interpolation theorems esta...
We show abstract versions for Banach couples of several limiting compact interpolation theorems esta...
We establish compactness interpolation results for bilinear operators of convolution type and for op...
Let (A0;A1) be a Banach couple, (B0;B1) a quasi-Banach couple, 0 B0 is bounded and T : A1 -> B1 is ...
We study the behavior of the ball measure of non-compactness under several interpolation methods. Fi...
AbstractThis paper is concerned with compactness for some topologies on the collection of bounded li...
In this thesis we study extension results related to compact bilinear operators in the setting of in...
Let A be a linear bounded operator from a couple ~X = (X0, X1) to a couple ~Y = (Y0, Y1) such that t...
Let (Y0, Y1) be a Banach couple and let Xj be a closed complemented subspace of Yj ; (j = 0; 1). We ...
Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compac...
AbstractWe describe a new approach to interpolate by the complex method quasi-Banach couples formed ...