Compact homomorphisms between algebras of analytic functions
Aron, Richard ; Galindo, Pablo ; Lindström, Mikael
Studia Mathematica, Tome 122 (1997), p. 235-247 / Harvested from The Polish Digital Mathematics Library
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We prove that every weakly compact multiplicative linear continuous map from H∞(D) into H∞(D) is compact. We also give an example which shows that this is not generally true for uniform algebras. Finally, we characterize the spectra of compact composition operators acting on the uniform algebra H∞(BE), where BE is the open unit ball of an infinite-dimensional Banach space E.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:216391 
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     title = {Compact homomorphisms between algebras of analytic functions},
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     volume = {122},
     year = {1997},
     pages = {235-247},
     zbl = {0898.46049},
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Aron, Richard; Galindo, Pablo; Lindström, Mikael. Compact homomorphisms between algebras of analytic functions. Studia Mathematica, Tome 122 (1997) pp. 235-247. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv123i3p235bwm/

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