A closed densely defined operator $T$ such that both $T$ and $T^*$ are injective and paranormal yet $T$ is not normal

Mohammed Hichem Mortad

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arXiv · 2002.11491

A closed densely defined operator $T$ such that both $T$ and $T^*$ are injective and paranormal yet $T$ is not normal

Mohammed Hichem Mortad

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Abstract

In this note, we give an example of a densely defined closed one-to-one paranormal operator $T$ whose adjoint is also injective and paranormal, but $T$ fails to be normal.

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BibTeX RIS

Mohammed Hichem Mortad. 2020-02-19. A closed densely defined operator $T$ such that both $T$ and $T^*$ are injective and paranormal yet $T$ is not normal. https://arxiv.org/abs/2002.11491

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