1Departamento de Análisis Matemático Universidad de Valencia 46100 Burjassot, Valencia, Spain 2Department of Mathematics and Statistics University of Lancaster Lancaster LA1 4YF, United Kingdom 3School of Mathematics, Statistics and Operations Research Victoria University of Wellington Wellington 6140, New Zealand
Studia Mathematica, Tome 225 (2014) no. 1, pp. 29-59
We consider $(p,q)$-multi-norms and standard $t$-multi-norms based on Banach spaces of the form $L^r(\varOmega )$, 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.
Keywords:
consider multi norms standard t multi norms based banach spaces form varomega resolve question about mutual equivalence multi norms introduce multi norm called concave multi norm relate standard t multi norm
Affiliations des auteurs :
Oscar Blasco
1
;
H. G. Dales
2
;
Hung Le Pham
3
1
Departamento de Análisis Matemático Universidad de Valencia 46100 Burjassot, Valencia, Spain
2
Department of Mathematics and Statistics University of Lancaster Lancaster LA1 4YF, United Kingdom
3
School of Mathematics, Statistics and Operations Research Victoria University of Wellington Wellington 6140, New Zealand
@article{10_4064_sm225_1_3,
author = {Oscar Blasco and H. G. Dales and Hung Le Pham},
title = {Equivalences involving $(p,q)$-multi-norms},
journal = {Studia Mathematica},
pages = {29--59},
year = {2014},
volume = {225},
number = {1},
doi = {10.4064/sm225-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm225-1-3/}
}
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
SP - 29
EP - 59
VL - 225
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/sm225-1-3/
DO - 10.4064/sm225-1-3
LA - en
ID - 10_4064_sm225_1_3
ER -
%0 Journal Article
%A Oscar Blasco
%A H. G. Dales
%A Hung Le Pham
%T Equivalences involving $(p,q)$-multi-norms
%J Studia Mathematica
%D 2014
%P 29-59
%V 225
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm225-1-3/
%R 10.4064/sm225-1-3
%G en
%F 10_4064_sm225_1_3
Oscar Blasco; H. G. Dales; Hung Le Pham. Equivalences involving $(p,q)$-multi-norms. Studia Mathematica, Tome 225 (2014) no. 1, pp. 29-59. doi: 10.4064/sm225-1-3
