Journal article
Similarity, Quasimilarity and Operator Factorizations
Transactions of the American Mathematical Society, Vol.314(1), pp.225-254
07/1989
DOI: 10.2307/2001443
Abstract
We introduce and illustrate an operator factorization technique to study similarity and quasisimilarity of Hilbert space operators. The technique allows one to generate, in a systematic way, families of "test" operators, and to check for similarity and quasisimilarity with a given model. In the case of the unilateral shift U+, we obtain a one-parameter family of nonhyponormal, noncontractive, shift-like operators in the similarity orbit of U+. We also obtain new characterizations of quasisimilarity and similarity in terms of invariant operator ranges, and conditions for spectral and essential spectral inclusions.
Details
- Title: Subtitle
- Similarity, Quasimilarity and Operator Factorizations
- Creators
- Raul E CurtoLawrence A Fialkow
- Resource Type
- Journal article
- Publication Details
- Transactions of the American Mathematical Society, Vol.314(1), pp.225-254
- DOI
- 10.2307/2001443
- ISSN
- 0002-9947
- eISSN
- 1088-6850
- Publisher
- American Mathematical Society
- Language
- English
- Date published
- 07/1989
- Academic Unit
- Mathematics
- Record Identifier
- 9983985705802771
Metrics
29 Record Views