Bounded point evaluations and cyclic polynomials on the spaces $$\hat F$$期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Bounded point evaluations and cyclic polynomials on the spaces $$\hat F$$

Authors:	Ivan Č Jovanović Eberhard Malkowsky Vladimir Rakočević

Institution:	(1) Department of Mathematics, Faculty of Science and Mathematics University of Niš, Višegradska 33, 18000 Niš, Serbia and Montenegro;(2) Department of Mathematics, University of Giessen, Arndtstrasse 2, D-35392 Giessen, Germany

Abstract:	LetF be aBK space withAK and $\hat F$ denote the set of all formal power series $\hat f$ with $\hat f(z) = \sum\limits_{k = 0}^\infty {f_k z^k }$ such that $f = (f_k )_{k = 0}^\infty$ ε F for the sequence of coefficients of $\hat f$ . We give a necessary and sufficient condition for a point to be a bounded point evaluation on $\hat F$ , and for a polynomial to be cyclic in $\hat F$ . As special cases, we obtain the results for the space ℓ_p(β) in 7]. Research of the authors supported under the research project #1232 of the Serbian Ministry of Sciences and Tecnology and, in the case of the second author, also by the DAAD foundation (German Academic Exchange Service), grant 911 103 102 8.

Keywords:	1991 Mathematics Subject Classification" target="_blank">1991 Mathematics Subject Classification 40H05 46A45
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