Geodesic
Bad properties of the Bernstein numbers
Albrecht Pietsch 1
1 Mathematisches Institut Friedrich-Schiller-Universität D-07740 Jena, Germany
Studia Mathematica, Tome 184 (2008) no. 3, pp. 263-269 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We show that the classes $\mathfrak L_p^{\rm bern}:= \{ T : (b_n(T) ) \in l_p \}$ associated with the Bernstein numbers $b_n$ fail to be operator ideals. Moreover, $\mathfrak L_p^{\rm bern} \circ \mathfrak L_q^{\rm bern} \not\subseteq \mathfrak L_r^{\rm bern}$ for $1/r = 1/p + 1/q$.
DOI : 10.4064/sm184-3-5
Keywords: classes mathfrak bern associated bernstein numbers fail operator ideals moreover mathfrak bern circ mathfrak bern subseteq mathfrak bern

Albrecht Pietsch  1

1 Mathematisches Institut Friedrich-Schiller-Universität D-07740 Jena, Germany 
@article{10_4064_sm184_3_5,
     author = {Albrecht Pietsch},
     title = {Bad properties of the {Bernstein} numbers},
     journal = {Studia Mathematica},
     pages = {263--269},
     year = {2008},
     volume = {184},
     number = {3},
     doi = {10.4064/sm184-3-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm184-3-5/}
}
TY  - JOUR
AU  - Albrecht Pietsch
TI  - Bad properties of the Bernstein numbers
JO  - Studia Mathematica
PY  - 2008
SP  - 263
EP  - 269
VL  - 184
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm184-3-5/
DO  - 10.4064/sm184-3-5
LA  - en
ID  - 10_4064_sm184_3_5
ER  - 
%0 Journal Article
%A Albrecht Pietsch
%T Bad properties of the Bernstein numbers
%J Studia Mathematica
%D 2008
%P 263-269
%V 184
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm184-3-5/
%R 10.4064/sm184-3-5
%G en
%F 10_4064_sm184_3_5
Albrecht Pietsch. Bad properties of the Bernstein numbers. Studia Mathematica, Tome 184 (2008) no. 3, pp. 263-269. doi: 10.4064/sm184-3-5

Cité par Sources :