On transitive operator algebras in real Banach spaces

We consider weakly closed transitive algebras of operators containing non-zero compact operators in real Banach spaces (Lomonosov algebras). It is shown that they are naturally divided in three classes: the algebras of real, complex and quaternion classes. The properties and characterizations of alg...

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Bibliographic Details
Main Authors: Kissin, Edward, Shulman, Victor, Turovskii, Yuri V.
Format: Article
Language:English
Published: Theta Foundation 2022
Subjects:
Online Access:https://repository.londonmet.ac.uk/8159/1/2022%20ARXIVE%20On%20Transitive%20Operator%20algebras%20in%20Real%20Banach%20Spaces.pdf