A New Method for Approximation of Closed Convex Subsets of B(H)

Mahdi Iranmanesh, Fathemeh Soleimany


In this paper we use the concept of numerical range to characterize
best approximation points in closed convex subsets of B(H): Finally by using this method we give also a useful characterization of best approximation in closed convex subsets of a C-algebra A:

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