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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Hauptverfasser:	Kissin, Edward, Shulman, Victor S, Turovskii, Yurii V
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Functional Analysis Mathematics - Operator Algebras
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