Minimal and maximal description for the real interpolation methods in the case of quasi-Banach triples.
Stan, Ilie (2002)
Novi Sad Journal of Mathematics
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Stan, Ilie (2002)
Novi Sad Journal of Mathematics
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Pedro Fernández Martínez (2006)
Revista Matemática Complutense
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We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.
Michels, C. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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Ron Kerman, Mario Milman, Gord Sinnamon (2007)
Revista Matemática Complutense
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Simian, Dana, Simian, Corina (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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J. A. López Molina, M. E. Puerta, M. J. Rivera (2001)
Extracta Mathematicae
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Kufner, Alois, Wannebo, Andreas (1995)
Georgian Mathematical Journal
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N. Kalton (1993)
Colloquium Mathematicae
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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 -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 (-set). However, for certain special classes of quasi-Banach spaces we are able to prove such a result for larger sets. Thus...
Sánchez Pérez, Enrique A., Werner, Dirk (2011)
Banach Journal of Mathematical Analysis [electronic only]
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T. Xie, S. Zhou (1992)
Colloquium Mathematicae
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Heath, Matthew J. (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Alpay, Safak, Ercan, Zafer (2006)
Sibirskij Matematicheskij Zhurnal
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