Universal interpolating sequences on some function spaces
Bahmann Yousefi; B. Tabatabaie
Czechoslovak Mathematical Journal (2005)
- Volume: 55, Issue: 3, page 773-780
- ISSN: 0011-4642
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topYousefi, Bahmann, and Tabatabaie, B.. "Universal interpolating sequences on some function spaces." Czechoslovak Mathematical Journal 55.3 (2005): 773-780. <http://eudml.org/doc/30986>.
@article{Yousefi2005,
abstract = {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 $H(K)$.},
author = {Yousefi, Bahmann, Tabatabaie, B.},
journal = {Czechoslovak Mathematical Journal},
keywords = {reproducing kernels; universal interpolating sequences; Bessel sequence; Riesz-Fischer sequence; reproducing kernels; universal interpolating sequences; Bessel sequence; Riesz-Fischer sequence},
language = {eng},
number = {3},
pages = {773-780},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Universal interpolating sequences on some function spaces},
url = {http://eudml.org/doc/30986},
volume = {55},
year = {2005},
}
TY - JOUR
AU - Yousefi, Bahmann
AU - Tabatabaie, B.
TI - Universal interpolating sequences on some function spaces
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 3
SP - 773
EP - 780
AB - 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 $H(K)$.
LA - eng
KW - reproducing kernels; universal interpolating sequences; Bessel sequence; Riesz-Fischer sequence; reproducing kernels; universal interpolating sequences; Bessel sequence; Riesz-Fischer sequence
UR - http://eudml.org/doc/30986
ER -
References
top- 10.1215/ijm/1255987417, Illinois J. Math. 36 (1992), 404–419. (1992) MR1161974DOI10.1215/ijm/1255987417
- 10.1090/S0002-9947-1950-0051437-7, Trans. Amer. Math. Soc. 68 (1950), 337–404. (1950) Zbl0037.20701MR0051437DOI10.1090/S0002-9947-1950-0051437-7
- Biorthogonal systems and bases in Hilbert space, Matematika 4 (1951), 69–107 (in Russian). (1951) MR0050171
- The Theory of Subnormal Operators. Math. Surveys Monographs 36, Amer. Math. Soc., , 1991. (1991) MR1112128
- Banach Algebra Techniques in Operator Theory, Academic Press, New York, 1972. (1972) Zbl0247.47001MR0361893
- Bounded Analytic Functions, Academic Press, New York, 1981. (1981) MR0628971
- Bemerkungen zur Theorie der beschrönkten Biline arformen mit undendlich vielen Veränderlichen, Journal für die Reine und Angewandte Mathematik 140 (1911), 1–28. (1911)
- Operators Acting on Hilbert Spaces of Analytic Functions. A series of lectures, Dept. of Math., Univ. of Calgary, , 1991. (1991)
- 10.4064/sm-133-2-121-130, Studia Mathematica 133 (1999), 121–130. (1999) MR1686692DOI10.4064/sm-133-2-121-130
- 10.2307/2372892, Amer. J. Math. 83 (1961), 513–532. (1961) MR0133446DOI10.2307/2372892
- 10.1017/S0004972700020219, Bull. Austral. Math. Soc. 65 (2002), 177–182. (2002) Zbl1045.47024MR1898531DOI10.1017/S0004972700020219
- Operator Theory in Function Spaces, Marcel Dekker, New York, 1990. (1990) Zbl0706.47019MR1074007
- A class of operators associated with reproducing kernels, J. Operator Theory 38 (1997), 19–24. (1997) Zbl0892.47030MR1462013
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