Completely bounded isomorphisms of operator algebras and similarity to complete isometries
نویسندگان
چکیده
منابع مشابه
Norming Algebras and Automatic Complete Boundedness of Isomorphisms of Operator Algebras
Abstract. We combine the notion of norming algebra introduced by Pop, Sinclair and Smith with a result of Pisier to show that if A1 and A2 are operator algebras, then any bounded epimorphism of A1 onto A2 is completely bounded provided that A2 contains a norming C ∗-subalgebra. We use this result to give some insights into Kadison’s Similarity Problem: we show that every faithful bounded homomo...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2015
ISSN: 0022-2518
DOI: 10.1512/iumj.2015.64.5572