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Title: Universal interpolating sequences on some function spaces (English)
Author: Yousefi, B.
Author: Tabatabaie, B.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 55
Issue: 3
Year: 2005
Pages: 773-780
Summary lang: English
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Category: math
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Summary: Let $H(K)$ be the Hilbert space with reproducing kernel $K$. This paper characterizes some sufficient conditions for a sequence to be a universal interpolating sequence for $H(K)$. (English)
Keyword: reproducing kernels
Keyword: universal interpolating sequences
Keyword: Bessel sequence
Keyword: Riesz-Fischer sequence
MSC: 30E05
MSC: 46E20
MSC: 46E22
MSC: 47B32
MSC: 47B38
idZBL: Zbl 1081.47041
idMR: MR2153100
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Date available: 2009-09-24T11:27:29Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/128020
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Reference: [1] G. T.  Adams, P. J.  McGuire and V. I.  Paulsen: Analytic reproducing kernels and multiplication operators.Illinois J.  Math. 36 (1992), 404–419. MR 1161974, 10.1215/ijm/1255987417
Reference: [2] N.  Aronszajn: Theory of reproducing kernels.Trans. Amer. Math. Soc. 68 (1950), 337–404. Zbl 0037.20701, MR 0051437, 10.1090/S0002-9947-1950-0051437-7
Reference: [3] N.  Bari: Biorthogonal systems and bases in Hilbert space.Matematika 4 (1951), 69–107 (in Russian). MR 0050171
Reference: [4] J. B.  Conway: The Theory of Subnormal Operators. Math. Surveys Monographs  36.Amer. Math. Soc., , 1991. MR 1112128
Reference: [5] R. G.  Douglas: Banach Algebra Techniques in Operator Theory.Academic Press, New York, 1972. Zbl 0247.47001, MR 0361893
Reference: [6] J. B.  Garnet: Bounded Analytic Functions.Academic Press, New York, 1981. MR 0628971
Reference: [7] I.  Schur: Bemerkungen zur Theorie der beschrönkten Biline arformen mit undendlich vielen Veränderlichen.Journal für die Reine und Angewandte Mathematik 140 (1911), 1–28.
Reference: [8] K.  Seddighi: Operators Acting on Hilbert Spaces of Analytic Functions. A series of lectures.Dept. of  Math., Univ. of Calgary, , 1991.
Reference: [9] K.  Seddighi and S. M.  Vaezpour: Commutants of certain multiplication operators on Hilbert spaces of analytic functions.Studia Mathematica 133 (1999), 121–130. MR 1686692, 10.4064/sm-133-2-121-130
Reference: [10] H. S.  Shapiro and A. L.  Shields: On some interpolation problems for analytic functions.Amer. J.  Math. 83 (1961), 513–532. MR 0133446, 10.2307/2372892
Reference: [11] B.  Yousefi: Interpolating sequence on certain Banach spaces of analytic functions.Bull. Austral. Math. Soc. 65 (2002), 177–182. Zbl 1045.47024, MR 1898531, 10.1017/S0004972700020219
Reference: [12] K.  Zhu: Operator Theory in Function Spaces.Marcel Dekker, New York, 1990. Zbl 0706.47019, MR 1074007
Reference: [13] K.  Zhu: A class of operators associated with reproducing kernels.J.  Operator Theory 38 (1997), 19–24. Zbl 0892.47030, MR 1462013
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