Journal article
A Matricial Identity Involving the Self-Commutator of a Commuting n-Tuple
Proceedings of the American Mathematical Society, Vol.121(2), pp.461-464
06/1994
DOI: 10.2307/2160422
Abstract
For a commuting n-tuple a = (a1, ..., an) of elements of a unital C*-algebra A, we establish a matricial identity linking the self-commutator of a to the 2n - 1 × 2n - 1 matrix â that detects the Taylor invertibility of a. As a consequence, we obtain a simple proof of a result of D. Xia (Oper. Theory: Adv. Appl. 48 (1990), 423-448), which states that for commuting t-hyponormal n-tuples, σT(a) = σr(a).
Details
- Title: Subtitle
- A Matricial Identity Involving the Self-Commutator of a Commuting n-Tuple
- Creators
- Raul E CurtoRenyi Jian
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.121(2), pp.461-464
- DOI
- 10.2307/2160422
- ISSN
- 0002-9939
- eISSN
- 1088-6826
- Publisher
- American Mathematical Society
- Language
- English
- Date published
- 06/1994
- Academic Unit
- Mathematics
- Record Identifier
- 9983985963502771
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