Journal of Operator Theory
Volume 33, Issue 1, Winter 1995 pp. 105-116.
Dual properties and joint spectra for solvable Lie algebras of operatorsAuthors: Enrico Boasso
Author institution:Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria Pabellon I, 1428 Nuñez, Buenos Aires, Republica Argentina
Summary: If L is 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 Slodkowski joint spectra $\sigma_{\delta,k}$, $\sigma_{\pi,k}$ and study its usual spectral properties.
Keywords: Lie algebra, ideals of Lie algebra, n-tuple of commuting operators, joint spectrum, Slodkowski joint spectrum.
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