[Banach] Abstract of a paper by Daniel Carando, Veronica Dimant, and Santiago Muro

This is an announcement for the paper "Every Banach ideal of polynomials is compatible with an operator ideal" by Daniel Carando, Veronica Dimant, and Santiago Muro.

Abstract: We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of $n$-homogeneous polynomials belongs to a coherent sequence of ideals of $k$-homogeneous polynomials.

Archive classification: math.FA

Mathematics Subject Classification: 47H60, 47L20, 47L22 (Primary) 46G25 (Secondary)

Remarks: 12 pages

Submitted from: smuro@dm.uba.ar

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1009.1064

or

http://arXiv.org/abs/1009.1064