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Rezaei, H. (2012). On topological transitive maps on operator algebras. Bulletin of the Iranian Mathematical Society, 38(1), 123-130.
H. Rezaei. "On topological transitive maps on operator algebras". Bulletin of the Iranian Mathematical Society, 38, 1, 2012, 123-130.
Rezaei, H. (2012). 'On topological transitive maps on operator algebras', Bulletin of the Iranian Mathematical Society, 38(1), pp. 123-130.
Rezaei, H. On topological transitive maps on operator algebras. Bulletin of the Iranian Mathematical Society, 2012; 38(1): 123-130.

On topological transitive maps on operator algebras

Article 9, Volume 38, Issue 1, April 2012, Page 123-130  XML PDF (171 K)
Document Type: Research Paper
Author
H. Rezaei
University of Yasouj
Receive Date: 17 April 2010,  Revise Date: 09 September 2010,  Accept Date: 09 September 2010 
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
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