Interpolation of the measure of non-compactness between quasi-Banach spaces.

Pedro Fernández Martínez

Displaying similar documents to “Interpolation of the measure of non-compactness between quasi-Banach spaces.”

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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...

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