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math.CV2023
Continuity of inner-outer factorization and cross sections from invariant subspaces to inner functions
Bingzhe Hou, Yue Xin
Let be the Banach algebra of bounded analytic functions on the unit open disc equipped with the supremum norm. As well known, inner functions play an impo…
math.CV2023
A note on connectedness of Blaschke products
Yue Xin, Bingzhe Hou
Consider the space of all inner functions on the unit open disk under the uniform topology, which is a metric topology induced by the -norm. In the presen…