In this note, we establish the cartesian decomposition of C-normal operator on a complex separable Hilbert space. Using this we give two characterizations of C-normal operators. These characterizations are useful in checking C-normality of an operator. We illustrate these results with examples. © 2021 Informa UK Limited, trading as Taylor &amp; Francis Group.

Ramesh G

Department of Mathematics

Venku Naidu .D

B. Sudip Ranjan

Indian Institute of Technology Hyderabad (IITH) is a premier institute of science and technology established in 2008. IITH has been consistently ranked in the&nbsp;<a href="https://iith.ac.in/reports/" rel="noopener noreferrer">top 10 institutes</a>&nbsp;in India for Engineering&nbsp;<a href="https://www.nirfindia.org/2021/EngineeringRanking.html" rel="noopener noreferrer" target="_blank">according to NIRF</a>&nbsp;making it one of the most coveted schools for science and technology in the country.

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Journal	Data powered by TypesetLinear and Multilinear Algebra
Publisher	Data powered by TypesetTaylor and Francis Ltd.
ISSN	03081087
Open Access	No