DOIAbstract
The relations between the k-uniform convexity of Banach spaces and both the real and the complex method of interpolation are studied. Estimates on the behaviour of the moduli of k-rotundity are given
The relations between the k-uniform convexity of Banach spaces and both the real and the complex method of interpolation are studied. Estimates on the behaviour of the moduli of k-rotundity are given
summary:We prove the continuity of the rotundity modulus relative to linear subspaces of normed spac...
The complex method of interpolation, going back to Calder\uf3n and Coifman et al., on the one hand, ...
We provide some properties of both moduli of convexity δ and β and derive some applications of the m...
The relations between the complex theory of interpolation for families of Banach spaces and the noti...
It is shown that the property of (n, d)-convexity is stable under complex interpolation for a family...
AbstractWe give estimates for the characteristic of convexity of the Banach spaces obtained by compl...
Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under th...
We give estimates for the characteristic of convexity of the Banach spaces obtained by complex inter...
R. Geremia and F. Sullivan proved that 2-uniform rotundity is equivalent to 2-uniform convexity. Thi...
AbstractR. Geremia and F. Sullivan proved that 2-uniform rotundity is equivalent to 2-uniform convex...
It is proved that ifX0 orX1 is uniformly non-l1n then [X0,X1] (the intermediate spaces obtained by ...
Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under th...
Behavior of weak measures of noncompactness under real interpolation is investigated. It is shown th...
AbstractWe show that complex Kergin interpolation may be defind in any domain that is C-convex, wher...
Banaś defined a modulus for Banach spaces which has appeared in the literature, but not studied in d...
summary:We prove the continuity of the rotundity modulus relative to linear subspaces of normed spac...
The complex method of interpolation, going back to Calder\uf3n and Coifman et al., on the one hand, ...
We provide some properties of both moduli of convexity δ and β and derive some applications of the m...
The relations between the complex theory of interpolation for families of Banach spaces and the noti...
It is shown that the property of (n, d)-convexity is stable under complex interpolation for a family...
AbstractWe give estimates for the characteristic of convexity of the Banach spaces obtained by compl...
Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under th...
We give estimates for the characteristic of convexity of the Banach spaces obtained by complex inter...
R. Geremia and F. Sullivan proved that 2-uniform rotundity is equivalent to 2-uniform convexity. Thi...
AbstractR. Geremia and F. Sullivan proved that 2-uniform rotundity is equivalent to 2-uniform convex...
It is proved that ifX0 orX1 is uniformly non-l1n then [X0,X1] (the intermediate spaces obtained by ...
Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under th...
Behavior of weak measures of noncompactness under real interpolation is investigated. It is shown th...
AbstractWe show that complex Kergin interpolation may be defind in any domain that is C-convex, wher...
Banaś defined a modulus for Banach spaces which has appeared in the literature, but not studied in d...
summary:We prove the continuity of the rotundity modulus relative to linear subspaces of normed spac...
The complex method of interpolation, going back to Calder\uf3n and Coifman et al., on the one hand, ...
We provide some properties of both moduli of convexity δ and β and derive some applications of the m...
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