A C∗-Algebra on Schur Algebras
نویسندگان
چکیده
In this paper, we show the relation between the Schur algebras Sr Λ,Σ(B) and S r′ Λ,Σ(B), where 1 ≤ r ′ < r < ∞. Then we set up the involution operator in these Schur algebras and show that with this involution operator there is only one C∗-algebra among these classes of Banach algebras. Furthermore, we show the equivalence of a condition on the Schur multiplier norm and the existence of C∗-algebra. 2010 Mathematics Subject Classification: Primary 15A18; Secondary 47A10
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