✦ LIBER ✦

Hyperexpansive completion problem via alternating sequences; an application to subnormality

✍ Scribed by Zenon J. Jabłoński; Il Bong Jung; Jung Ah Kwak; Jan Stochel

Book ID: 104039350
Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 470 KB
Volume: 434
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.01.004

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✦ Synopsis

Truncations of completely alternating sequences are entirely characterized. The completely hyperexpansive completion problem is solved for finite sequences of (positive) numbers in terms of positivity of attached matrices. Solutions to the problem are written explicitly for sequences of two, three, four, five and six numbers. As an application, an explicit solution of the subnormal completion problem for five numbers is given.