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Representation of commutants of the Pommiez operator and their applications

✍ Scribed by N. E. Linchuk

Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
314 KB
Volume
44
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES

Reflexivity of the commutant and local c
Reflexivity of the commutant and local commutants of an algebraic operator
✍ Janko Bračič πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 153 KB

We show that an algebraic operator on a complex Banach space has reflexive commutant if and only if each zero of the minimal polynomial of the operator is simple. Further, for any operator, the local commutant at an eigenvector is reflexive. On the other hand, for an algebraic operator whose minimal