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Topological conditions for bound-2 isomorphisms of \(C(X)\). (English) Zbl 0822.46023

Summary: We establish the topological relationship between compact Hausdorff spaces \(X\) and \(Y\) equivalent to the existence of a bound-2 isomorphism of the sup norm Banach spaces \(C(X)\) and \(C(Y)\).

MSC:

46E15 Banach spaces of continuous, differentiable or analytic functions
54C08 Weak and generalized continuity
54C35 Function spaces in general topology
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