Taiwanese Journal of Mathematics

$ C_0$ CONTRACTIONS QUASISIMILAR TO IRREDUCIBLE ONES

Ching-I Hsin

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Abstract

Let $T$ be a $C_0$ contraction. Using the Jordan model, we prove that $T$ is quasisimilar to an irreducible operator if and only if $T$ is not quadratic and $T-\lambda I$ is not finite-rank for any complex number $\lambda$.

Article information

Source
Taiwanese J. Math., Volume 6, Number 1 (2002), 39-58.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500407398

Digital Object Identifier
doi:10.11650/twjm/1500407398

Mathematical Reviews number (MathSciNet)
MR1884453

Zentralblatt MATH identifier
1006.47015

Subjects
Primary: 47A45: Canonical models for contractions and nonselfadjoint operators

Keywords
$C_0$ contraction irreducible operator volterra operator

Citation

Hsin, Ching-I. $ C_0$ CONTRACTIONS QUASISIMILAR TO IRREDUCIBLE ONES. Taiwanese J. Math. 6 (2002), no. 1, 39--58. doi:10.11650/twjm/1500407398. https://projecteuclid.org/euclid.twjm/1500407398


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