6533b86cfe1ef96bd12c8269
RESEARCH PRODUCT
Factorization of homomorphisms through H∞(D)
Mikael LindströmPablo Galindosubject
Discrete mathematicsConnected spacePure mathematicsEndomorphismCompact spaceComposition operatorBounded functionApplied MathematicsSpectrum (functional analysis)Maximal idealOperator theoryAnalysisMathematicsdescription
AbstractWeakly 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-04-01 | Journal of Mathematical Analysis and Applications |