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Thin sequences in the corona of H ∞

Dimcho Stankov, Tzonio Tzonev (2013)

Open Mathematics

In this paper we consider several conditions for sequences of points in M(H ∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona M ( H ) 𝔻 of H ∞ is a thin sequence for H ∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H ∞ necessarily satisfy the same condition.

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