Proceedings of the American Mathematical Society

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
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46G25

G. Botelho
Affiliation: Faculdade de Matemática, Universidade Federal de Uberlândia, 38.400-902, Uberlândia, Brazil
Email: botelho@ufu.br

H.-A. Braunss
Affiliation: Institute of Mathematics, University of Potsdam, 14469, Potsdam, Germany
Email: braunss@rz.uni-potsdam.de

H. Junek
Affiliation: Institute of Mathematics, University of Potsdam, 14469, Potsdam, Germany
Email: junek@rz.uni-potsdam.de

D. Pellegrino
Affiliation: Departamento de Matemática, Universidade Federal da Paraíba, 58051-900, J. Pessoa, PB, Brazil
Email: pellegrino.math@gmail.com

DOI: 10.1090/S0002-9939-08-09691-3
PII: S 0002-9939(08)09691-3
Received by editor(s): March 4, 2008
Posted: October 8, 2008
Additional Notes: The fourth author is supported by CNPq Grant 308084/2006-3 and Edital MCT/CNPq 02/2006-Universal, Grant 471054/2006-2
Communicated by: Nigel J. Kalton
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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