Similarity, quasisimilarity, and operator factorizations

Raúl E. Curto; Lawrence A. Fialkow

doi:10.1090/S0002-9947-1989-0962277-3

Back

Similarity, quasisimilarity, and operator factorizations

Journal article

Open access

Peer reviewed

Similarity, quasisimilarity, and operator factorizations

Raúl E. Curto and Lawrence A. Fialkow

Transactions of the American Mathematical Society, Vol.314(1), pp.225-254

01/01/1989

DOI: 10.1090/S0002-9947-1989-0962277-3

Files and links (1)

url

https://doi.org/10.1090/S0002-9947-1989-0962277-3View

Published (Version of record) Open Access

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 + {U_ + } , we obtain a one-parameter family of nonhyponormal, noncontractive, shift-like operators in the similarity orbit of U + {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, quasisimilarity, and operator factorizations
Creators: Raúl E. Curto
Lawrence A. Fialkow
Resource Type: Journal article
Publication Details: Transactions of the American Mathematical Society, Vol.314(1), pp.225-254
DOI: 10.1090/S0002-9947-1989-0962277-3
ISSN: 0002-9947
eISSN: 1088-6850
Publisher: American Mathematical Society
Language: English
Date published: 01/01/1989
Academic Unit: Mathematics
Record Identifier: 9984241047802771

Metrics

9 Record Views