This is an announcement for the paper "A unified Pietsch domination theorem" by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda.

Abstract: In this paper we prove an abstract version of Pietsch's domination theorem which unify a number of known Pietsch-type domination theorems for classes of mappings that generalize the ideal of absolutely p-summing linear operators. A final result shows that Pietsch-type dominations are totally free from algebraic conditions, such as linearity, multilinearity, etc.

Archive classification: math.FA

Remarks: 10 pages

The source file(s), abstract-PDT-20nov.tex: 32852 bytes, is(are) stored in gzipped form as 0811.3518.gz with size 9kb. The corresponding postcript file has gzipped size 81kb.

Submitted from: dmpellegrino@gmail.com

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http://arXiv.org/abs/0811.3518

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