Compact homomorphisms between algebras of analytic functions

Richard Aron*, Pablo Galindo, Mikael Lindström

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

30 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)235-247
Number of pages13
JournalStudia Mathematica
Volume123
Issue number3
Publication statusPublished - 1997
MoE publication typeA1 Journal article-refereed

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