A Remark on Bounded Homomorphisms into B(H) and Amenability of Unitary Groups

نویسندگان

  • A. G. Ghazanfari
  • B. Ghazanfari
چکیده

Let A be a unital amenable A∗-algebra, or a unital commutative hermitian Banach ∗-algebra. We show that if ρ : A → B(H) is a bounded homomorphism, then ρ is completely bounded and ‖ρ‖cb ≤ ‖ρ‖2. Mathematics Subject Classification: 46L07; 46k05

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تاریخ انتشار 2013