Normal and Hermitian composition operators

Singh, Raj Kishor

doi:10.1090/S0002-9939-1975-0355679-5

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Normal and Hermitian composition operators
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Proc. Amer. Math. Soc. 47 (1975), 348-350 Request permission

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

Composition operators

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

Additional Information

Journal: Proc. Amer. Math. Soc. 47 (1975), 348-350
DOI: https://doi.org/10.1090/S0002-9939-1975-0355679-5
MathSciNet review: 0355679