Title of article
ON TOPOLOGICAL TRANSITIVE MAPS ON OPERATOR ALGEBRAS
Author/Authors
REZAEI, H. yasouj university - Department of Mathematics, ياسوج, ايران
From page
123
To page
130
Abstract
We consider the transitive linear maps on the operator algebra B(X) for a separable Banach space X. We show if a bounded linear map is norm transitive on B(X), then it must be hypercyclic with strong operator topology. Also we provide a SOT-transitive linear map without being hypercyclic in the strong operator topology.
Keywords
Hypercyclic operator , transitive map , strong operator topology.
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2549470
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