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arxiv: 0908.2262 · v1 · submitted 2009-08-16 · 🧮 math.FA

The unbounded commutant of an operator of class C₀

classification 🧮 math.FA
keywords classindexoperatoroperatorsarbitraryboundedcaseclosed
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We describe the closed, densely defined linear transformations commuting with a given operator T of class C_0 in terms of bounded operators in {T}'. Our results extend those of Sarason for operators with defect index 1, and Martin in the case of arbitrary finite index.

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