Displaying similar documents to “Minimal and maximal description for the real interpolation methods in the case of quasi-Banach triples.”

On vector-valued inequalities for Sidon sets and sets of interpolation

N. Kalton (1993)

Colloquium Mathematicae

Similarity:

Let E be a Sidon subset of the integers and suppose X is a Banach space. Then Pisier has shown that E-spectral polynomials with values in X behave like Rademacher sums with respect to L p -norms. We consider the situation when X is a quasi-Banach space. For general quasi-Banach spaces we show that a similar result holds if and only if E is a set of interpolation ( I 0 -set). However, for certain special classes of quasi-Banach spaces we are able to prove such a result for larger sets. Thus...

Quasi-sums in several variables.

Maksa, Gyula, Nizsalóczki, Enikő (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Similarity:

Pairwise monotonically normal spaces

Josefa Marín, Salvador Romaguera (1991)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We introduce and study the notion of pairwise monotonically normal space as a bitopological extension of the monotonically normal spaces of Heath, Lutzer and Zenor. In particular, we characterize those spaces by using a mixed condition of insertion and extension of real-valued functions. This result generalizes, at the same time improves, a well-known theorem of Heath, Lutzer and Zenor. We also obtain some solutions to the quasi-metrization problem in terms of the pairwise monotone normality. ...

On Edmunds-Triebel spaces.

Nikolova, L., Zachariades, T. (2010)

Banach Journal of Mathematical Analysis [electronic only]

Similarity: