Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Inclusions and coincidences for multiple summing multilinear mappings

Author(s): G. Botelho; H.-A. Braunss; H. Junek; D. Pellegrino
Journal: Proc. Amer. Math. Soc. 137 (2009), 991-1000.
MSC (2000): Primary 46G25
Posted: October 8, 2008
MathSciNet review: 2457439
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Abstract: Using complex interpolation we prove new inclusion and coincidence theorems for multiple (fully) summing multilinear and holomorphic mappings. Among several other results we show that continuous -linear forms on cotype 2 spaces are multiple $(2;q_{k},...,q_{k})$ -summing, where $2^{k-1}<n\leq2^{k}$ , $q_{0}=2$ and $q_{k+1}=\frac{2q_{k}}{1+q_{k}}$ for $k\geq0.$

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