COMPLEX MOMENT MATRICES VIA HALMOS-BRAM AND EMBRY CONDITIONS

Title & Authors
COMPLEX MOMENT MATRICES VIA HALMOS-BRAM AND EMBRY CONDITIONS
Li, Chunji; Jung, Il-Bong; Park, Sang-Soo;

Abstract
By considering a bridge between Bram-Halmos and Embry characterizations for the subnormality of cyclic operators, we extend the Curto-Fialkow and Embry truncated complex moment problem, and solve the problem finding the finitely atomic representing measure $\small{{\mu}}$ such that \${\gamma}_{ij}
Keywords
truncated complex moment problem;cyclic subnormal operator;
Language
English
Cited by
1.
ON NONSINGULAR EMBRY QUARTIC MOMENT PROBLEM,;;

대한수학회보, 2007. vol.44. 2, pp.337-350
2.
ESTIMATING THE DOMAIN OF ATTRACTION VIA MOMENT MATRICES,;;;;

대한수학회보, 2009. vol.46. 6, pp.1237-1248
3.
A Cyclic Subnormal Completion of Complex Data,;;;

Kyungpook mathematical journal, 2014. vol.54. 2, pp.157-163
1.
A Cyclic Subnormal Completion of Complex Data, Kyungpook mathematical journal, 2014, 54, 2, 157
2.
ESTIMATING THE DOMAIN OF ATTRACTION VIA MOMENT MATRICES, Bulletin of the Korean Mathematical Society, 2009, 46, 6, 1237
References
1.
R. Curto and L. Fialkow, Solution of the truncated complex moment problems for flat data, Mem. Amer. Math. Soc. 119 (1996), no. 568, x+52pp

2.
R. Curto and L. Fialkow, Flat extensions of positive moment matrices: recursively generated relations, Memoirs Amer. Math. Soc. 136 (1998), no. 648, x+56 pp

3.
R. Curto and L. Fialkow, Solution of the singular quartic moment problem, J. Operator Theory 48 (2002), no. 2, 315-354

4.
M. Embry, A generalization of the Halmos-Bram criterion for subnormality, Acta. Sci. Math. (Szeged) 35 (1973), 61-64

5.
I. Jung, E. Ko, C. Li, and S. Park, Embry truncated complex moment problem, Linear Algebra Appl. 375 (2003), 95-114

6.
C. Li, The singular Embry quartic moment problem, Hokkaido Math. J. 34 (2005), no. 3, 655-666

7.
C. Li and S. Lee, The quartic moment problem, J. Korean Math. Soc. 42 (2005), no. 4, 723-747

8.
S. Wolfram, Mathematica, Version 3.0, Wolfram Research Inc., Champaign, IL, 1996