Extended spectrum of the Aluthge transformation. (English) Zbl 07570285
Authors’ abstract: In this paper, a relationship between the extended spectrum of the Aluthge transform and the extended spectrum of the operator \(T\) is proved. Other relationships between two different operators and other results are also given.
Reviewer: Sen Zhu (Changchun)
MSC:
| 47A10 | Spectrum, resolvent |
| 47A25 | Spectral sets of linear operators |
| 47A75 | Eigenvalue problems for linear operators |
| 47B49 | Transformers, preservers (linear operators on spaces of linear operators) |
Keywords:
Aluthge transformation; extended spectrum; Duggal transformation; self-adjoint operator; invertible operatorReferences:
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