Spectrum for a solvable Lie algebra of operators

Daniel Beltiţă

Type: Article

Publication Date: 1999-01-01

Citations: 12

DOI: https://doi.org/10.4064/sm-135-2-163-178

Abstract

A new concept of spectrum for a solvable Lie algebra of operators is introduced, extending the Taylor spectrum for commuting tuples. This spectrum has the projection property on any Lie subalgebra and, for algebras of compact operators, it may be computed

Locations

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+ PDF Chat	Cartan subalgebras of a Lie algebra and its ideals	1970	David J. Winter
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+	On the operator equation BX−XA=Q	1956	Marvin Rosenblum
+	On the cohomology of soluble Lie algebras	1967	Donald W. Barnes
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+	Irreducible representations of infinite-dimensional Lie algebras	1983	Mihai Şabac
+	The Taylor spectrum and spectral decompositions	1975	Ştefan Frunză