Approximation properties determined by operator ideals
Functional Analysis
2010-09-16 v1
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.
Cite
@article{arxiv.1009.2977,
title = {Approximation properties determined by operator ideals},
author = {Sonia Berrios and Geraldo Botelho},
journal= {arXiv preprint arXiv:1009.2977},
year = {2010}
}
Comments
24 pages