Some properties of the adjoint of the unbounded operators TT^* and T^*T

2022/03/20 by Mohammed Hichem Mortad, Mortad, Mohammed Hichem
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Holomorphic and Operator Theory #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2203.10634

Abstract

In this note, we mainly investigate the validity of the identities (TT^*)^*=TT^* and (T^*T)^*=T^*T, where T is a densely defined closable (or symmetric) operator.

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