Equivalences involving (p,q)-multi-norms

Oscar Blasco, H. G. Dales, and Hung Le Pham. "Equivalences involving (p,q)-multi-norms." Studia Mathematica 225.1 (2014): 29-59. <http://eudml.org/doc/285584>.

@article{OscarBlasco2014,
abstract = {We consider (p,q)-multi-norms and standard t-multi-norms based on Banach spaces of the form $L^\{r\}(Ω)$, and resolve some question about the mutual equivalence of two such multi-norms. We introduce a new multi-norm, called the [p,q]-concave multi-norm, and relate it to the standard t-multi-norm.},
author = {Oscar Blasco, H. G. Dales, Hung Le Pham},
journal = {Studia Mathematica},
keywords = {multi-norms; equivalences; absolutely summing operators; tensor products; regular operators; matrices},
language = {eng},
number = {1},
pages = {29-59},
title = {Equivalences involving (p,q)-multi-norms},
url = {http://eudml.org/doc/285584},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Oscar Blasco
AU - H. G. Dales
AU - Hung Le Pham
TI - Equivalences involving (p,q)-multi-norms
JO - Studia Mathematica
PY - 2014
VL - 225
IS - 1
SP - 29
EP - 59
AB - We consider (p,q)-multi-norms and standard t-multi-norms based on Banach spaces of the form $L^{r}(Ω)$, and resolve some question about the mutual equivalence of two such multi-norms. We introduce a new multi-norm, called the [p,q]-concave multi-norm, and relate it to the standard t-multi-norm.
LA - eng
KW - multi-norms; equivalences; absolutely summing operators; tensor products; regular operators; matrices
UR - http://eudml.org/doc/285584
ER -