arXiv:1901.09435 Abstract | arXiv Analytics

arXiv:1901.09435 [math.FA]Abstract References Reviews Resources

When Nilpotence Implies Normality of Bounded Linear Operators

Published 2019-01-27Version 1

In this paper, we give conditions forcing nilpotent matrices (and bounded linear operators in general) to be null or equivalently to be normal. Therefore, a non-zero operator having e.g. a positive real part is never nilpotent. The case of quasinilpotence is also considered.

Categories: math.FA, math.OA

Keywords: bounded linear operators, nilpotence implies normality, conditions forcing nilpotent matrices, positive real part, non-zero operator

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