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5
votes
0
answers
98
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$p$-operator space structure on Banach algebras
There is an abstract characterization of operator algebras, which says that if $A$ is an operator space that is also an approximately unital Banach algebra, then the following are equivalent:
For an …
3
votes
2
answers
505
views
Holomorphic functional calculus and idempotents
One of the applications of the holomorphic functional calculus is with regard to idempotents. For instance, if an element $a$ in a unital Banach algebra $A$ has spectrum contained in two balls, each o …