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

Abstract

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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 ) .

How to cite

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Yousefi, 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

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  1. Analytic reproducing kernels and multiplication operators, Illinois J.  Math. 36 (1992), 404–419. (1992) MR1161974
  2. 10.1090/S0002-9947-1950-0051437-7, Trans. Amer. Math. Soc. 68 (1950), 337–404. (1950) Zbl0037.20701MR0051437DOI10.1090/S0002-9947-1950-0051437-7
  3. Biorthogonal systems and bases in Hilbert space, Matematika 4 (1951), 69–107 (in Russian). (1951) MR0050171
  4. The Theory of Subnormal Operators. Math. Surveys Monographs  36, Amer. Math. Soc., , 1991. (1991) MR1112128
  5. Banach Algebra Techniques in Operator Theory, Academic Press, New York, 1972. (1972) Zbl0247.47001MR0361893
  6. Bounded Analytic Functions, Academic Press, New York, 1981. (1981) MR0628971
  7. Bemerkungen zur Theorie der beschrönkten Biline arformen mit undendlich vielen Veränderlichen, Journal für die Reine und Angewandte Mathematik 140 (1911), 1–28. (1911) 
  8. Operators Acting on Hilbert Spaces of Analytic Functions. A series of lectures, Dept. of  Math., Univ. of Calgary, , 1991. (1991) 
  9. Commutants of certain multiplication operators on Hilbert spaces of analytic functions, Studia Mathematica 133 (1999), 121–130. (1999) MR1686692
  10. 10.2307/2372892, Amer. J.  Math. 83 (1961), 513–532. (1961) MR0133446DOI10.2307/2372892
  11. 10.1017/S0004972700020219, Bull. Austral. Math. Soc. 65 (2002), 177–182. (2002) Zbl1045.47024MR1898531DOI10.1017/S0004972700020219
  12. Operator Theory in Function Spaces, Marcel Dekker, New York, 1990. (1990) Zbl0706.47019MR1074007
  13. A class of operators associated with reproducing kernels, J.  Operator Theory 38 (1997), 19–24. (1997) Zbl0892.47030MR1462013

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