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arxiv: 1505.04261 · v1 · pith:ZZBUK5LEnew · submitted 2015-05-16 · 🧮 math.FA

A spectral theory for solvable Lie algebras of operators

classification 🧮 math.FA
keywords operatorsalgebrasjointsolvablespectrumactingbanachcommuting
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The main objective of this paper is to develop a notion of joint spectrum for complex solvable Lie algebras of operators acting on a Banach space, which generalizes the Taylor joint spectrum (T.J.S.) for several commuting operators.

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