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Complex moment matrices via Halmos-Bram and Embry conditions

Title
Complex moment matrices via Halmos-Bram and Embry conditions
Authors
Li, ChunjiJung, Il BongPark, Sang Soo
Ewha Authors
박상수
Issue Date
2007
Journal Title
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
ISSN
0304-9914JCR Link
Citation
vol. 44, no. 4, pp. 949 - 970
Keywords
truncated complex moment problemcyclic subnormal operator
Publisher
KOREAN MATHEMATICAL SOCIETY
Indexed
SCIE; SCOPUS; KCI WOS scopus
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 mu such that gamma ij = integral z(-i)z(j)d mu, (0 <= i+j <= 2n, vertical bar i-j vertical bar <= n+s, 0 <= s <= n); the cases of s = n and s = 0 are induced by Bram-Halmos and Embry characterizations, respectively. The former is the Curto-Fialkow truncated complex moment problem and the latter is the Embry truncated complex moment problem.
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연구기관 > 수리과학연구소 > Journal papers
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