Riesz angles of Orlicz sequence spaces

Yan, Ya Qiang. "Riesz angles of Orlicz sequence spaces." Commentationes Mathematicae Universitatis Carolinae 43.1 (2002): 133-147. <http://eudml.org/doc/248971>.

@article{Yan2002,
abstract = {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 $\max (2\beta ^0_\{\Psi \}, 2\beta ^\{\prime \}_\{\Psi \})\le a(l^\{\Phi \}) \le \frac\{2\}\{\theta ^0_\{\Phi \}\}$.},
author = {Yan, Ya Qiang},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Orlicz space; $N$-function; index function; Riesz angle; Orlicz space; -function; index function; Riesz angle},
language = {eng},
number = {1},
pages = {133-147},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Riesz angles of Orlicz sequence spaces},
url = {http://eudml.org/doc/248971},
volume = {43},
year = {2002},
}

TY - JOUR
AU - Yan, Ya Qiang
TI - Riesz angles of Orlicz sequence spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2002
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 43
IS - 1
SP - 133
EP - 147
AB - 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 $\max (2\beta ^0_{\Psi }, 2\beta ^{\prime }_{\Psi })\le a(l^{\Phi }) \le \frac{2}{\theta ^0_{\Phi }}$.
LA - eng
KW - Orlicz space; $N$-function; index function; Riesz angle; Orlicz space; -function; index function; Riesz angle
UR - http://eudml.org/doc/248971
ER -