Abstract of a paper by Geraldo Botelho, Daniel Pellegrino, and Pilar Rueda
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 or http://arXiv.org/abs/1210.3332
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alspach@math.okstate.edu