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(mn)-Paranormal Composition Operators

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Mathematical Analysis and Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 381))

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Abstract

In this paper, we prove some characterizations for the class of (mn)-paranormal operators acting on the complex Hilbert space \(\mathcal {H}\). The class of (mn)-paranormal operators is characterized in terms of the Radon–Nikodym derivative of the measure \(\lambda T^{-1}\) with respect to \(\lambda \). Moreover, we discuss the conditions under which the classes of composition operators, weighted composition operators, multiplication composition operators are (mn)-paranormal.

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Kour, B., Ram, S. (2021). (mn)-Paranormal Composition Operators. In: Chadli, O., Das, S., Mohapatra, R.N., Swaminathan, A. (eds) Mathematical Analysis and Applications. Springer Proceedings in Mathematics & Statistics, vol 381. Springer, Singapore. https://doi.org/10.1007/978-981-16-8177-6_13

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