The cluster value problem for Banach spaces
classification
🧮 math.FA
keywords
spacesbanachclusterproblemvaluealgebrasdimensionalfinite
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The main result is that the cluster value problem in separable Banach spaces, for the Banach algebras $A_u$ and $H^{\infty}$, can be reduced to the cluster value problem in those spaces which are $\ell_1$ sums of a sequence of finite dimensional spaces.
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