Equivalences involving (p,q)-multi-norms

• Autorzy: Oscar Blasco , H. G. Dales , Hung Le Pham
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47L10: Algebras of operators on Banach spaces and other topological linear spaces
• 46B15: Summability and bases
• 46B42: Banach lattices
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 225
• Numer: 1
• Strony: 29-59

Daty

wydano

2014

Twórcy

autor

Oscar Blasco

• Departamento de Análisis Matemático, Universidad de Valencia, 46100 Burjassot, Valencia, Spain

autor

H. G. Dales

• Department of Mathematics and Statistics, University of Lancaster, Lancaster LA1 4YF, United Kingdom

autor

Hung Le Pham

• School of Mathematics, Statistics, and Operations Research, Victoria University of Wellington, Wellington 6140, New Zealand

Identyfikatory

DOI

10.4064/sm225-1-3