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arXiv · 1510.00913

Dual properties and joint spectra for solvable Lie algebras of operators

Enrico Boasso
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Abstract

Given $L$ a solvable Lie Algebra of operators acting on a Banach space $E$, we study the action of the opposite algebra of $L$, $L'$, on $E^*$. Moreover, we extend Słodkowski joint spectra, $σ_{δ,k}$, $σ_{π,k}$, and we study its usual spectral properties.

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Enrico Boasso. 2015-10-04. Dual properties and joint spectra for solvable Lie algebras of operators. https://arxiv.org/abs/1510.00913

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