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Generalized involutions on Banach spaces. (English) Zbl 1052.47029

The purpose of this paper is to study the class of bounded linear operators \(T\) on a complex Banach space such that \(T^m= I\) for some positive integer \(m\). It is well-known that such an operator is scalar-type spectral, from which all the results of the paper easily follow.

MSC:

47B40 Spectral operators, decomposable operators, well-bounded operators, etc.
47A60 Functional calculus for linear operators
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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