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Lambert Conditional Operators on \(L^2(\Sigma )\)

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Abstract

In this paper, we discuss measure theoretic characterizations for Lambert conditional operators in some operator classes on \(L^2(\Sigma )\) such as, p-hyponormal, centered, n-normal and binormal. In addition, it is showed when these operators are orthogonal projection and some correlations between these types of operators are established.

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Acknowledgements

The authors are very grateful to the referee(s) for careful reading of the paper and for a number of helpful comments and corrections which improved the presentation of this paper.

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Correspondence to Mohammad Reza Jabbarzadeh.

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Communicated by Sanne ter Horst, Dmitry S. Kaliuzhnyi-Verbovetskyi and Izchak Lewkowicz.

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Emamalipour, H., Jabbarzadeh, M.R. Lambert Conditional Operators on \(L^2(\Sigma )\). Complex Anal. Oper. Theory 14, 18 (2020). https://doi.org/10.1007/s11785-020-00982-8

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