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The Quarterly Journal of Mathematics 2001 52(1):1-12; doi:10.1093/qjmath/52.1.1
© 2001 by Oxford University Press
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Estimates for absolutely summing norms of polynomials and multilinear maps

Yun sung Choi1, Sung guen Kim1, Yolanda MelÉndez2 and Andrew Tonge3

1 Department of Mathematics, Pohang University of Science and Technology, Pohang, South Korea, e-mail: sgkim{at}euclid.postech.ac.kr e-mail: mathchoi{at}euclid.postech.ac.kr 2 Departamento de Matemáticas, Universidad de Extremadura, Badajoz, Spain, e-mail: yolanda{at}unex.es 3 Department of Mathematics and Computer Science, Kent State University, Kent, OH 44242, USA, e-mail: tonge{at}mcs.kent.edu

We obtain lower bounds for the usual norms and the absolutely summing norms of polynomials and multilinear mappings from lp or c0 to a Banach space.

Our estimates unify and extend the work of several previous authors who have worked with scalar-valued mappings.

Received 29 May 1998.


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