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/