We consider (p,q)-multi-norms and standard t-multi-norms based on Banach spaces of the form , 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.
@article{bwmeta1.element.bwnjournal-article-doi-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},
volume = {223},
year = {2014},
pages = {29-59},
zbl = {1325.46016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-1-3}
}
Oscar Blasco; H. G. Dales; Hung Le Pham. Equivalences involving (p,q)-multi-norms. Studia Mathematica, Tome 223 (2014) pp. 29-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-1-3/