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1. CJM 2011 (vol 63 pp. 862)
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Linear Combinations of Composition Operators on the Bloch Spaces We characterize the compactness of linear combinations of analytic
composition operators on the Bloch space. We also study
their boundedness and compactness on the little Bloch space.
Keywords: composition operator, compactness, Bloch space Categories:47B33, 30D45, 47B07 |
2. CJM 2010 (vol 62 pp. 961)
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Multiplicative Isometries and Isometric Zero-Divisors
For some Banach spaces of analytic functions in the unit disk
(weighted Bergman spaces, Bloch space, Dirichlet-type spaces), the
isometric pointwise multipliers are found to be unimodular constants.
As a consequence, it is shown that none of those spaces have isometric
zero-divisors. Isometric coefficient multipliers are also
investigated.
Keywords:Banach spaces of analytic functions, Hardy spaces, Bergman spaces, Bloch space, Dirichlet space, Dirichlet-type spaces, pointwise multipliers, coefficient multipliers, isometries, isometric zero-divisors Categories:30H05, 46E15 |