Abstract
Weber's theorem says that if A : H → H is bounded and linear on a separable Hubert space, then any operator that is compact, commutes with A and lies in the weak closure of the range of the inner derivation induced by A must also be quasinilpotent. In this note we consider related problems for generalised inner derivations associated with operators A and B on H.
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More From: Mathematical Proceedings of the Royal Irish Academy
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