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RESEARCH PRODUCT
Connected components in the space of composition operators onH∞ functions of many variables
Richard M. AronPablo GalindoMikael Lindströmsubject
Discrete mathematicsAlgebra and Number TheoryApproximation propertyInfinite-dimensional vector functionHilbert spaceOperator theoryOperator spaceContinuous functions on a compact Hausdorff spacesymbols.namesakeOperator algebraBanach algebrasymbolsAnalysisMathematicsdescription
LetE be a complex Banach space with open unit ballBe. The structure of the space of composition operators on the Banach algebra H∞, of bounded analytic functions onBe with the uniform topology, is studied. We prove that the composition operators arising from mappings whose range lies strictly insideBe form a path connected component. WhenE is a Hilbert space or aCo(X)- space, the path connected components are shown to be the open balls of radius 2.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-01-01 | Integral Equations and Operator Theory |