Approximation properties determined by operator ideals

Details Approximation properties determined by operator ideals Approximation properties determined by operator ideals

2010-09-15

arxiv.org/abs/1009.2977v1

Mathematics

Functional Analysis

24 pages

Scientific paper

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.

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