Estimates for absolutely summing norms of polynomials and multilinear maps

Citation
Ys. Choi et al., Estimates for absolutely summing norms of polynomials and multilinear maps, Q J MATH, 52, 2001, pp. 1-12
Citations number
19
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
52
Year of publication
2001
Part
1
Pages
1 - 12
Database
ISI
SICI code
0033-5606(200103)52:<1:EFASNO>2.0.ZU;2-1
Abstract
We obtain lower bounds for the usual norms and the absolutely summing norms of polynomials and multilinear mappings from l(p) or c(0) to a Banach spac e. Our estimates unify and extend the work of several previous authors who hav e worked with scalar-valued mappings.