Normal and Hermitian composition operators
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- by Raj Kishor Singh
- Proc. Amer. Math. Soc. 47 (1975), 348-350
- DOI: https://doi.org/10.1090/S0002-9939-1975-0355679-5
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Abstract:
Let ${C_\phi }$ be a composition operator on ${L^2}(\lambda )$. Some conditions under which ${C_\phi }$ is an isometry and Hermitian are investigated in this paper. Some study of normal composition operators is also made.References
- Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368 W. C. Ridge, Composition operators, Thesis, Indiana University, Bloomington, Ind., 1969.
- Raj Kishor Singh, Compact and quasinormal composition operators, Proc. Amer. Math. Soc. 45 (1974), 80–82. MR 348545, DOI 10.1090/S0002-9939-1974-0348545-1
Bibliographic Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 348-350
- DOI: https://doi.org/10.1090/S0002-9939-1975-0355679-5
- MathSciNet review: 0355679