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UNITARY EQUIVALENCE TO A TRUNCATED TOEPLITZ OPERATOR: ANALYTIC SYMBOLS.
- Source :
-
Proceedings of the American Mathematical Society . Apr2012, Vol. 140 Issue 4, p1281-1295. 15p. - Publication Year :
- 2012
-
Abstract
- Unlike Toeplitz operators on H², truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically. In this paper we provide criteria for a matrix with distinct eigenvalues to be unitarily equivalent to a truncated Toeplitz operator having an analytic symbol. This test is constructive, and we illustrate it with several examples. As a byproduct, we also prove that every complex symmetric operator on a Hilbert space of dimension ≤ 3 is unitarily equivalent to a direct sum of truncated Toeplitz operators. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 140
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 69961769
- Full Text :
- https://doi.org/10.1090/S0002-9939-2011-11060-8