A counterexample for H∞ approximable functions

Let be the unit disk. We show that for some relatively closed set F ⊂ there is a function f that can be uniformly approximated on F by functions of H∞, but such that f cannot be written as f = h + g, with h ∈ H∞ and g uniformly continuous on F. This answers a question of Stray. © 2000 American Mathe...

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Publicado: 2000
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n10_p3003_Suarez
http://hdl.handle.net/20.500.12110/paper_00029939_v128_n10_p3003_Suarez
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