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

• Autorzy: Sonia Berrios , Geraldo Botelho
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 46G25: (Spaces of) multilinear mappings, polynomials
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 208
• Numer: 2
• Strony: 97-116

Daty

wydano

2012

Twórcy

autor

Sonia Berrios

• Faculdade de Matemática, Universidade Federal de Uberlândia, 38400-902 Uberlândia, Brazil

autor

Geraldo Botelho

• Faculdade de Matemática, Universidade Federal de Uberlândia, 38400-902 Uberlândia, Brazil

Identyfikatory

DOI

10.4064/sm208-2-1