Half-centered Operators

Olof Giselsson

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arXiv · 1602.05081

Half-centered Operators

Olof Giselsson

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Abstract

An operator $T$ on a Hilbert space is called half-centered if the sequence $T^{*}T,(T^{*})^{2}T^{2},...$ consists of mutually commuting operators. It is a subclass of the well-studied centered operators. In this paper we give a condition for when a half-centered operator is centered and prove a structure theorem for those half-centered operators that satisfies a criteria of a technical nature.

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Olof Giselsson. 2016-02-16. Half-centered Operators. https://arxiv.org/abs/1602.05081

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