An example of a positive semidefinite double sequence which is not a moment sequence

Torben Maack Bisgaard

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 2, page 273-277
  • ISSN: 0011-4642

Abstract

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The first explicit example of a positive semidefinite double sequence which is not a moment sequence was given by Friedrich. We present an example with a simpler definition and more moderate growth as ( m , n ) .

How to cite

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Bisgaard, Torben Maack. "An example of a positive semidefinite double sequence which is not a moment sequence." Czechoslovak Mathematical Journal 54.2 (2004): 273-277. <http://eudml.org/doc/30858>.

@article{Bisgaard2004,
abstract = {The first explicit example of a positive semidefinite double sequence which is not a moment sequence was given by Friedrich. We present an example with a simpler definition and more moderate growth as $(m, n) \rightarrow \infty $.},
author = {Bisgaard, Torben Maack},
journal = {Czechoslovak Mathematical Journal},
keywords = {double sequence; positive definite; moment sequence; double sequence; positive definite; moment sequence},
language = {eng},
number = {2},
pages = {273-277},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An example of a positive semidefinite double sequence which is not a moment sequence},
url = {http://eudml.org/doc/30858},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Bisgaard, Torben Maack
TI - An example of a positive semidefinite double sequence which is not a moment sequence
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 2
SP - 273
EP - 277
AB - The first explicit example of a positive semidefinite double sequence which is not a moment sequence was given by Friedrich. We present an example with a simpler definition and more moderate growth as $(m, n) \rightarrow \infty $.
LA - eng
KW - double sequence; positive definite; moment sequence; double sequence; positive definite; moment sequence
UR - http://eudml.org/doc/30858
ER -

References

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  5. 10.1002/mana.19851210118, Math. Nachr. 121 (1985), 285–286. (1985) Zbl0578.44006MR0809325DOI10.1002/mana.19851210118
  6. Über eine Erweiterung des Stieltjesschen Momentenproblemes, Math. Ann. 81, 82 (1920, 1921), 235–319, 120–164, 168–187. (1920, 1921) 
  7. 10.1007/BF01446888, Math. Ann. 287 (1990), 213–220. (1990) MR1054564DOI10.1007/BF01446888
  8. 10.1002/mana.19790880130, Math. Nachr. 88 (1979), 385–390. (1979) MR0543417DOI10.1002/mana.19790880130

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