【摘 要】
：
Let(A)be a C*-algebra,and let T :(A)→(B)((η))be completely bounded.We call |T|:(A)→(B)((η))a Wittstock modulus of(A)if |T|is completely positive such th
【机 构】
：
UniversityAlberta,Canada
【出 处】
：
算子代数和调和分析2017年研讨会 (Workshop on Operator Algebras and Harmoni
论文部分内容阅读
Let(A)be a C*-algebra,and let T :(A)→(B)((η))be completely bounded.We call |T|:(A)→(B)((η))a Wittstock modulus of(A)if |T|is completely positive such that ‖|T|‖cb≤‖‖T‖cb and |T|± Re T≥0 and |T|±Im T≥0.As a consequence of G.Wittstocks celebrated decomposition theorem,every completely bounded operator has a Wittstock modulus.We give a concrete description of Wittstock moduli of elementary operators and put it to work towards settling the question of whether a pseudo-or approximately amenable C -algebra is actually amenable.
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