An example of a positive semidefinite double sequence which is not a moment sequence
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 273-277
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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 $.
@article{CMJ_2004__54_2_a0,
author = {Bisgaard, Torben Maack},
title = {An example of a positive semidefinite double sequence which is not a moment sequence},
journal = {Czechoslovak Mathematical Journal},
pages = {273--277},
publisher = {mathdoc},
volume = {54},
number = {2},
year = {2004},
mrnumber = {2059249},
zbl = {1080.43500},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2004__54_2_a0/}
}
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 SP - 273 EP - 277 VL - 54 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2004__54_2_a0/ LA - en ID - CMJ_2004__54_2_a0 ER -
Bisgaard, Torben Maack. An example of a positive semidefinite double sequence which is not a moment sequence. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 273-277. http://geodesic.mathdoc.fr/item/CMJ_2004__54_2_a0/