| Title:
|
Riesz angles of Orlicz sequence spaces (English) |
| Author:
|
Yan, Ya Qiang |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
133-147 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $\max (2\beta^0_{\Psi}, 2\beta '_{\Psi})\leq a(l^{\Phi}) \leq\frac{2}{\theta^0_{\Phi}}$. (English) |
| Keyword:
|
Orlicz space |
| Keyword:
|
$N$-function |
| Keyword:
|
index function |
| Keyword:
|
Riesz angle |
| MSC:
|
46B45 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 1090.46024 |
| idMR:
|
MR1903312 |
| . |
| Date available:
|
2009-01-08T19:20:12Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119305 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
