Factorization of homomorphisms through H (D)

Pablo Galindo*, Mikael Lindström

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)

Abstract

Weakly compact homomorphisms between (URM) algebras with connected maximal ideal space are shown to factor through H(D) by means of composition operators and to be strongly nuclear. The spectrum of such homomorphisms is also described. Strongly nuclear composition operators between algebras of bounded analytic functions are characterized. The path connected components of the space of endomorphisms on H(D) in the uniform operator topology are determined.

Original languageEnglish
Pages (from-to)375-386
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume280
Issue number2
DOIs
Publication statusPublished - 15 Apr 2003
MoE publication typeA1 Journal article-refereed

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