This is an announcement for the paper "On Pietsch measures for summing operators and dominated polynomials" by Geraldo Botelho, Daniel Pellegrino, and Pilar Rueda.
Abstract: We relate the injectivity of the canonical map from $C(B_{E'})$ to $L_p(\mu)$, where $\mu$ is a regular Borel probability measure on the closed unit ball $B_{E'}$ of the dual $E'$ of a Banach space $E$ endowed with the weak* topology, to the existence of injective $p$-summing linear operators/$p$-dominated homogeneous polynomials defined on $E$ having $\mu$ as a Pietsch measure. As an application we fill the gap in the proofs of some results of concerning Pietsch-type factorization of dominated polynomials.
Archive classification: math.FA
Mathematics Subject Classification: 28C15, 46G25, 47B10, 47L22
Remarks: 13 pages
Submitted from: pilar.rueda@uv.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1210.3332
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