Title:
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Universal interpolating sequences on some function spaces (English) |
Author:
|
Yousefi, B. |
Author:
|
Tabatabaie, B. |
Language:
|
English |
Journal:
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Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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55 |
Issue:
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3 |
Year:
|
2005 |
Pages:
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773-780 |
Summary lang:
|
English |
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Category:
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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:
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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:
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MR2153100 |
. |
Date available:
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2009-09-24T11:27:29Z |
Last updated:
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2020-07-03 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/128020 |
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Reference:
|
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Reference:
|
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Reference:
|
[3] N. Bari: Biorthogonal systems and bases in Hilbert space.Matematika 4 (1951), 69–107 (in Russian). MR 0050171 |
Reference:
|
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Reference:
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[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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