Geodesic
Equivalences involving $(p,q)$-multi-norms
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
Studia Mathematica, Tome 225 (2014) no. 1, pp. 29-59 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm225-1-3
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

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 
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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

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