This is an announcement for the paper "On dominated polynomials between Banach spaces" by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda.
Abstract: In this paper, among other results, we prove a conjecture concerning coincidence theorems for dominated polynomials. We also obtain an abstract version of Pietsch Domination Theorem (PDT) which unifies and generalizes several different nonlinear approaches; our result recovers, as a particular case, the well-known PDT for dominated multilinear mappings.
Archive classification: math.FA
Mathematics Subject Classification: 46B15; 46G25
Remarks: 10 pages
The source file(s), conjecture19agosto2008-arxiv.tex: 34210 bytes, is(are) stored in gzipped form as 0809.4496.gz with size 10kb. The corresponding postcript file has gzipped size 85kb.
Submitted from: dmpellegrino@gmail.com
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