Given an operator ideal ℐ, a Banach space E has the ℐ-approximation property if the identity operator 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 linear operators/homogeneous polynomials, spaces of holomorphic functions and their preduals.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm208-2-1,
author = {Sonia Berrios and Geraldo Botelho},
title = {Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions},
journal = {Studia Mathematica},
volume = {209},
year = {2012},
pages = {97-116},
zbl = {1250.46032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm208-2-1}
}
Sonia Berrios; Geraldo Botelho. Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions. Studia Mathematica, Tome 209 (2012) pp. 97-116. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm208-2-1/