Displaying similar documents to “(p,q)-Convexity in quasi-Banach lattices and applications”

Interpolation of real method spaces via some ideals of operators

Mieczysław Mastyło, Mario Milman (1999)

Studia Mathematica

Similarity:

Certain operator ideals are used to study interpolation of operators between spaces generated by the real method. Using orbital equivalence a new reiteration formula is proved for certain real interpolation spaces generated by ordered pairs of Banach lattices of the form ( X , L ∞ ( w ) ) . As an application we extend Ovchinnikov’s interpolation theorem from the context of classical Lions-Peetre spaces to a larger class of real interpolation spaces. A description of certain abstract J-method spaces is...

Effective constructions of separable quotients of Banach spaces.

Marek Wójtowicz (1997)

Collectanea Mathematica

Similarity:

A simple way of obtaining separable quotients in the class of weakly countably determined (WCD) Banach spaces is presented. A large class of Banach lattices, possessing as a quotient c0, l1, l2, or a reflexive Banach space with an unconditional Schauder basis, is indicated.

On a result of Peetre about interpolation of operator spaces

Fernando Cobos, Teresa Signes (2000)

Publicacions Matemàtiques

Similarity:

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.

The work of José Luis Rubio de Francia (II).

José García-Cuerva (1991)

Publicacions Matemàtiques

Similarity:

I am going to discuss the work José Luis Rubio did on weighted norm inequalities. Most of it is in the book we wrote together on the subject [12].