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Approximation in operator algebras on bounded analytic functions

Approximation in operator algebras on bounded analytic functions

Let $B$ denote the algebra of bounded analytic functions on the open unit disc in the complex plane. Let $(B,\beta )$ denote $B$ endowed with the strict topology $\beta$. In 1956, R. C. Buck introduced $[\beta :\beta ]$, the algebra of all continuous linear operators from $(B,\beta )$ into $(B,\beta …