TY - JOUR
ID - 395
TI - On topological transitive maps on operator algebras
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Rezaei, H.
AD - University of Yasouj
Y1 - 2012
PY - 2012
VL - 38
IS - 1
SP - 123
EP - 130
KW - Hypercyclic operator
KW - transitive map
KW - strong operator topology
DO -
N2 - 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-transitivelinear map without being hypercyclic in the strong operator topology.
UR - http://bims.iranjournals.ir/article_395.html
L1 - http://bims.iranjournals.ir/article_395_7f397c884503a656306bf029f5887d11.pdf
ER -