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# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## Analytic joint spectral radius in a solvable Lie algebra of operators

### Tom 144 / 2001

Studia Mathematica 144 (2001), 153-167 MSC: Primary 47A13; Secondary 17B30, 28B05. DOI: 10.4064/sm144-2-4

#### Streszczenie

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.

#### Autorzy

• Daniel BeltiţăInstitute of Mathematics
“Simion Stoilow"