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

^*Korresponderande författare för detta arbete

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

3 Citeringar (Scopus)

Sammanfattning

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.

Originalspråk	Engelska
Sidor (från-till)	375-386
Antal sidor	12
Tidskrift	Journal of Mathematical Analysis and Applications
Volym	280
Nummer	2
DOI	https://doi.org/10.1016/S0022-247X(03)00065-9
Status	Publicerad - 15 apr. 2003
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Finansiering

* Corresponding author. E-mail addresses: [email protected] (P. Galindo), [email protected] (M. Lindström). 1 Research of P. Galindo was partially supported by the Foundation of Åbo Akademi University Research Institute.

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

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