Korovkin theory in Banach -algebras
Ferdinand Beckhoff (1993)
Mathematica Slovaca
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Displaying similar documents to “Weak approximation by positive maps on -algebras”
Korovkin theory in Banach -algebras
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A characterization of
Jan Čerych (1980)
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Let A and B be uniformly closed function algebras on locally compact Hausdorff spaces with Choquet boundaries Ch A and ChB, respectively. We prove that if T: A → B is a surjective real-linear isometry, then there exist a continuous function κ: ChB → z ∈ ℂ: |z| = 1, a (possibly empty) closed and open subset K of ChB and a homeomorphism φ: ChB → ChA such that T(f) = κ(f ∘φ) on K and on ChB K for all f ∈ A. Such a representation holds for surjective real-linear isometries between (not...
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