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Example of a locally commutative operator field

✍ Scribed by V. D. Koshmanenko


Book ID
112479840
Publisher
Springer
Year
1974
Tongue
English
Weight
221 KB
Volume
25
Category
Article
ISSN
0041-5995

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Reflexivity of the commutant and local c
✍ 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