[Banach] Abstract of a paper by Sonia Berrios and Geraldo Botelho

This is an announcement for the paper "Approximation properties determined by operator ideals" by Sonia Berrios and Geraldo Botelho.

Abstract: Given an operator ideal I, a Banach space E has the I-approximation property if operators on E can be uniformly approximated on compact subsets of E by operators belonging to I. In this paper the I- approximation property is studied in projective tensor products, spaces of linear functionals, spaces of homogeneous polynomials (in particular, spaces of linear operators), spaces of holomorphic functions and their preduals.

Archive classification: math.FA

Remarks: 24 pages

Submitted from: botelho@ufu.br

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

http://front.math.ucdavis.edu/1009.2977

or

http://arXiv.org/abs/1009.2977