Bad properties of the Bernstein numbers

Albrecht Pietsch. "Bad properties of the Bernstein numbers." Studia Mathematica 184.3 (2008): 263-269. <http://eudml.org/doc/284414>.

@article{AlbrechtPietsch2008,
abstract = {We show that the classes $_\{p\}^\{bern\}: = \{T: (bₙ(T) ) ∈ l_\{p\}\}$ associated with the Bernstein numbers bₙ fail to be operator ideals. Moreover, $_\{p\}^\{bern\} ∘ _\{q\}^\{bern\} ⊈ _\{r\}^\{bern\}$ for 1/r = 1/p + 1/q.},
author = {Albrecht Pietsch},
journal = {Studia Mathematica},
keywords = {Bernstein numbers; -numbers; operator ideals},
language = {eng},
number = {3},
pages = {263-269},
title = {Bad properties of the Bernstein numbers},
url = {http://eudml.org/doc/284414},
volume = {184},
year = {2008},
}

TY - JOUR
AU - Albrecht Pietsch
TI - Bad properties of the Bernstein numbers
JO - Studia Mathematica
PY - 2008
VL - 184
IS - 3
SP - 263
EP - 269
AB - We show that the classes $_{p}^{bern}: = {T: (bₙ(T) ) ∈ l_{p}}$ associated with the Bernstein numbers bₙ fail to be operator ideals. Moreover, $_{p}^{bern} ∘ _{q}^{bern} ⊈ _{r}^{bern}$ for 1/r = 1/p + 1/q.
LA - eng
KW - Bernstein numbers; -numbers; operator ideals
UR - http://eudml.org/doc/284414
ER -