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Additive Results for Moore-Penrose Inverse of Lambert Conditional Operators

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Abstract

In this paper, we discuss measure theoretic characterizations for Moore-Penrose inverse of Lambert conditional operators, denoted by (MwEMu)†, in some operator classes on L2(Σ) such as p-hyponormal, centered, n-normal, binormal, partial isometry, quasinilpotent and EP operator. Moreover, we prove some basic results on (MwEMu)†, for instance, triple reverse order law and lower and upper bounds for the numerical range of (MwEMu)†. Also, we investigate some results concerning the Fuglede-Putnam property of \(\tilde T,{\tilde T^\dagger },\widetilde {{T^\dagger }}\) and some correlations between these types of operators.

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Acknowledgement

The author is 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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  1. Department of Mathematics, Lorestan University, Khorramabad, Iran

    M. Sohrabi

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  1. M. Sohrabi
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Sohrabi, M. Additive Results for Moore-Penrose Inverse of Lambert Conditional Operators. Anal Math 47, 421–435 (2021). https://doi.org/10.1007/s10476-021-0081-y

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  • DOI: https://doi.org/10.1007/s10476-021-0081-y

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