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Search: All articles in the CJM digital archive with keyword function space

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1. CJM Online first

Fricain, Emmanuel; Rupam, Rishika
 On asymptotically orthonormal sequences An asymptotically orthonormal sequence is a sequence which is "nearly" orthonormal in the sense that it satisfies the Parseval equality up to two constants close to one. In this paper, we explore such sequences formed by normalized reproducing kernels for model spaces and de Branges-Rovnyak spaces. Keywords:function space, de Branges-Rovnyak and model space, reproducing kernel, asymptotically orthonormal sequenceCategories:30J05, 30H10, 46E22

2. CJM 2003 (vol 55 pp. 204)

Yan, Yaqiang
 On the Nonsquare Constants of Orlicz Spaces with Orlicz Norm Let $l^{\Phi}$ and $L^\Phi (\Omega)$ be the Orlicz sequence space and function space generated by $N$-function $\Phi(u)$ with Orlicz norm. We give equivalent expressions for the nonsquare constants $C_J (l^\Phi)$, $C_J \bigl( L^\Phi (\Omega) \bigr)$ in sense of James and $C_S (l^\Phi)$, $C_S \bigl( L^\Phi(\Omega) \bigr)$ in sense of Sch\"affer. We are devoted to get practical computational formulas giving estimates of these constants and to obtain their exact value in a class of spaces $l^{\Phi}$ and $L^\Phi (\Omega)$. Keywords:James nonsquare constant, SchÃ¤ffer nonsquare constant, Orlicz sequence space, Orlicz function spaceCategory:46E30
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