Composition operator on $l^{p}$ and its adjoint
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- by R. K. Singh and B. S. Komal PDF
- Proc. Amer. Math. Soc. 70 (1978), 21-25 Request permission
Abstract:
A necessary and sufficient condition for the invertibility of a composition operator ${C_\phi }$ on ${l^p}$ is reported in this paper. The adjoint of ${C_\phi }$ is computed in the case $p = 2$. The necessary and sufficient conditions for unitary operators and co-isometries to be composition operators are also investigated. A study of invariant subspaces and reducing subspaces of ${C_\phi }$ is also made.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 70 (1978), 21-25
- MSC: Primary 47B37
- DOI: https://doi.org/10.1090/S0002-9939-1978-0487574-8
- MathSciNet review: 0487574