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- W2559266711 abstract "Let (X, Σ ,λ ) be a sigma finite measure space and let T be a measurable transformation from X into itself. The equation Cf = f ◦ T , f ∈ L 2 (λ) defines a composition transformation on L 2 (λ). When the measure λ ◦ T −1 is absolutely continuous with respect to λ and the Radon Nikodym derivative dλT −1 /dλ = f0 is essentially bounded, T induces a composition operator C on L 2 (λ). In this paper, various properties of generalised Aluthge Transformation Cr = |C| r U |C| 1−r of the composition operators C are studied. Preliminaries Let H be a Hilbert space and let T be a bounded linear operator on H." @default.
- W2559266711 created "2016-12-08" @default.
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- W2559266711 date "2008-01-01" @default.
- W2559266711 modified "2023-09-24" @default.
- W2559266711 title "A Study on Generalised Aluthge Transformation of Composition Operators" @default.
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