Analytic joint spectral radius in a solvable Lie algebra of operators

• Autorzy: Daniel Beltiţă
• Języki publikacji: EN

Abstrakty

EN

We introduce the concept of analytic spectral radius for a family of operators indexed by some finite measure space. This spectral radius is compared with the algebraic and geometric spectral radii when the operators belong to some finite-dimensional solvable Lie algebra. We describe several situations when the three spectral radii coincide. These results extend well known facts concerning commuting n-tuples of operators.

Kategorie tematyczne

• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)
• 28B05: Vector-valued set functions, measures and integrals
• 17B30: Solvable, nilpotent (super)algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 144
• Numer: 2
• Strony: 153-167

Daty

wydano

2001

Twórcy

autor

Daniel Beltiţă

• Institute of Mathematics, "Simion Stoilow", of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucureşti, Romania

Identyfikatory

DOI

10.4064/sm144-2-4