Spectral theory within the framework of locally solvable Lie algebras
Volume 55 / 2002
Banach Center Publications 55 (2002), 13-25
MSC: Primary 47A13; Secondary 17B30, 17B65, 47A15.
DOI: 10.4064/bc55-0-1
Abstract
The exposition is an invitation for the reader to explore a field where Lie algebra theory and operator theory are interacting. The discussion concerns some of the main achievements related to applications of Lie algebras to the problem of finding satisfactory non-commutative versions of the several variable spectral theory constructed by J. L. Taylor in the seventies. Virtually everybody could understand what is going on, in view of the illustrating examples developed in a self-contained manner.
