Completely Isometric Maps and Triangular Operator Algebras
نویسندگان
چکیده
منابع مشابه
On topological transitive maps on operator algebras
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.
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We said that φ is n-positive if φn is positive and that φ is completely positive if φn is positive for all n. The map φ is said to be n-bounded (resp., n-contractive) if ‖φn‖ ≤ c (resp., ‖φn‖ ≤ 1). The map φ is said to be completely bounded (resp., completely contractive) if ‖φ‖cb = supn‖φ‖n <∞ (resp., ‖φ‖cc = supn‖φn‖ ≤ 1). npositivity (resp., n-boundedness or n-contractivity) implies (n−1)-po...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 1972
ISSN: 0024-6115
DOI: 10.1112/plms/s3-25.1.96