A spectral theory for solvable Lie algebras of operators

E. Boasso and Angel Rafael Larotonda

Vol. 158 (1993), No. 1, 15–22

DOI: 10.2140/pjm.1993.158.15

Abstract

The main objective of this paper is to develop a notion of joint spectrum for complex solvable Lie algebras of operators acting on a Banach space, which generalizes Taylor joint spectrum (T.J.S.) for several commuting operators.

Mathematical Subject Classification 2000

Primary: 47A13

Secondary: 17B30, 47D99

Milestones

Received: 17 September 1990

Revised: 22 January 1992

Published: 1 March 1993