Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions

Sonia Berrios, and Geraldo Botelho. "Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions." Studia Mathematica 208.2 (2012): 97-116. <http://eudml.org/doc/285858>.

@article{SoniaBerrios2012,
abstract = {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.},
author = {Sonia Berrios, Geraldo Botelho},
journal = {Studia Mathematica},
keywords = {approximation property; operator ideal; homogeneous polynomial; holomorphic functions; Banach spaces},
language = {eng},
number = {2},
pages = {97-116},
title = {Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions},
url = {http://eudml.org/doc/285858},
volume = {208},
year = {2012},
}

TY - JOUR
AU - Sonia Berrios
AU - Geraldo Botelho
TI - Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions
JO - Studia Mathematica
PY - 2012
VL - 208
IS - 2
SP - 97
EP - 116
AB - 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.
LA - eng
KW - approximation property; operator ideal; homogeneous polynomial; holomorphic functions; Banach spaces
UR - http://eudml.org/doc/285858
ER -