Geodesic
Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions
Sonia Berrios1 ; Geraldo Botelho1
1Faculdade de Matemática Universidade Federal de Uberlândia 38400-902 Uberlândia, Brazil
Studia Mathematica, Tome 208 (2012) no. 2, pp. 97-116
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/sm208-2-1
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

Sonia Berrios  1   ; Geraldo Botelho  1

1 Faculdade de Matemática Universidade Federal de Uberlândia 38400-902 Uberlândia, Brazil 
@article{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},
     pages = {97--116},
     year = {2012},
     volume = {208},
     number = {2},
     doi = {10.4064/sm208-2-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm208-2-1/}
}
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
SP  - 97
EP  - 116
VL  - 208
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm208-2-1/
DO  - 10.4064/sm208-2-1
LA  - en
ID  - 10_4064_sm208_2_1
ER  - 
%0 Journal Article
%A Sonia Berrios
%A Geraldo Botelho
%T Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions
%J Studia Mathematica
%D 2012
%P 97-116
%V 208
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm208-2-1/
%R 10.4064/sm208-2-1
%G en
%F 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 208 (2012) no. 2, pp. 97-116. doi: 10.4064/sm208-2-1

Cité par Sources :