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1
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Closed operator ideals and limiting real interpolation

100%
Fernández-Cabrera L., Martínez A.
Studia Mathematica
|
2014
|
tom 220
|
nr 2
187-196
EN
We establish interpolation properties under limiting real methods for a class of closed ideals including weakly compact operators, Banach-Saks operators, Rosenthal operators and Asplund operators. We show that they behave much better than compact operators.
2
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Compact operators between K- and J-spaces

81%
Cobos F., Fernández-Cabrera L., Martínez A.
Studia Mathematica
|
2005
|
tom 166
|
nr 3
199-220
EN
The paper establishes necessary and sufficient conditions for compactness of operators acting between general K-spaces, general J-spaces and operators acting from a J-space into a K-space. Applications to interpolation of compact operators are also given.
3
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Compact operators and approximation spaces

81%
Cobos F., Domínguez O., Martínez A.
Colloquium Mathematicum
|
2014
|
tom 136
|
nr 1
1-11
EN
We investigate compact operators between approximation spaces, paying special attention to the limit case. Applications are given to embeddings between Besov spaces.
4
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Interpolation of the measure of non-compactness by the real method

81%
Cobos F., Fernández-Martínez P., Martínez A.
Studia Mathematica
|
1999
|
tom 135
|
nr 1
25-38
EN
We investigate the behaviour of the measure of non-compactness of an operator under real interpolation. Our results refer to general Banach couples. An application to the essential spectral radius of interpolated operators is also given.
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