Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions
Studia Mathematica, Tome 208 (2012) no. 2, pp. 97-116
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Given an operator ideal $\cal I$, a Banach space $E$ has the $\cal I$-approximation
property if the identity operator on $E$ can be uniformly approximated on
compact subsets of $E$ by operators belonging to $\cal I$. In this paper the $\cal I$-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.
Keywords:
given operator ideal cal banach space has cal i approximation property identity operator uniformly approximated compact subsets operators belonging cal paper cal i approximation property studied projective tensor products spaces linear functionals spaces linear operators homogeneous polynomials spaces holomorphic functions their preduals
Affiliations des auteurs :
Sonia Berrios 1 ; Geraldo Botelho 1
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author = {Sonia Berrios and Geraldo Botelho},
title = {Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions},
journal = {Studia Mathematica},
pages = {97--116},
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volume = {208},
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year = {2012},
doi = {10.4064/sm208-2-1},
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Sonia Berrios; Geraldo Botelho. Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions. Studia Mathematica, Tome 208 (2012) no. 2, pp. 97-116. doi: 10.4064/sm208-2-1
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