Riesz angles of Orlicz sequence spaces
Yan, Ya Qiang
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 133-147 / Harvested from Czech Digital Mathematics Library
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We introduce some practical calculation of the Riesz angles in Orlicz sequence spaces equipped with Luxemburg norm and Orlicz norm. For an $N$-function $\Phi(u)$ whose index function is monotonous, the exact value $a(l^{(\Phi)})$ of the Orlicz sequence space with Luxemburg norm is $a(l^{(\Phi)})=2^{\frac{1}{C^0_{\Phi}}}$ or $a(l^{(\Phi)})=\frac{\Phi^{-1}(1)}{\Phi^{-1}(\frac{1}{2})}$. The Riesz angles of Orlicz space $l^\Phi$ with Orlicz norm has the estimation $\max (2\beta^0_{\Psi}, 2\beta '_{\Psi})\leq a(l^{\Phi}) \leq\frac{2}{\theta^0_{\Phi}}$.

Publié le : 2002-01-01
Classification:  46B45,  46E30 
@article{119305,
     author = {Ya Qiang Yan},
     title = {Riesz angles of Orlicz sequence spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {133-147},
     zbl = {1090.46024},
     mrnumber = {1903312},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119305}
}

Yan, Ya Qiang. Riesz angles of Orlicz sequence spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 133-147. http://gdmltest.u-ga.fr/item/119305/

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