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Proceedings of the American Mathematical Society

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

 

 

Normal and Hermitian composition operators


Author: Raj Kishor Singh
Journal: Proc. Amer. Math. Soc. 47 (1975), 348-350
DOI: https://doi.org/10.1090/S0002-9939-1975-0355679-5
MathSciNet review: 0355679
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Abstract | References | Additional Information

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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0355679-5
Keywords: Composition operators, isometry, normal and Hermitian operators, quasinormal operators
Article copyright: © Copyright 1975 American Mathematical Society