Factorization of homomorphisms through H∞ (D)

Pablo Galindo; Mikael Lindström

doi:10.1016/S0022-247X(03)00065-9

Factorization of homomorphisms through H^∞ (D)

Pablo Galindo^*, Mikael Lindström

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-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 language	English
Pages (from-to)	375-386
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	280
Issue number	2
DOIs	https://doi.org/10.1016/S0022-247X(03)00065-9
Publication status	Published - 15 Apr 2003
MoE publication type	A1 Journal article-refereed

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10.1016/S0022-247X(03)00065-9

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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.",

author = "Pablo Galindo and Mikael Lindstr{\"o}m",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (P. Galindo), [email protected] (M. Lindstr{\"o}m). 1 Research of P. Galindo was partially supported by the Foundation of {\AA}bo Akademi University Research Institute.",

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AU - Lindström, Mikael

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PY - 2003/4/15

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N2 - 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.

AB - 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.

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AN - SCOPUS:0038730519

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VL - 280

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EP - 386

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Factorization of homomorphisms through H^∞ (D)

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