Title
Lie Algebras of Bounded Operators [electronic resource] / by Daniel Beltiţă, Mihai Şabac.
Published
Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2001.
Physical Description
1 online resource.
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
There is a fruitful and fascinating interaction between infinite dimensional operator theory (particularly decomposable, scalar and spectral generalized operator theory due to C. Foias and I. Colojoara) and Lie algebra theory. The present book is the first devoted to this field, ranging from some short historical notes to the most recent developments. Nilpotence criteria, infinite dimensional variants of Lie's theorem for solvable systems of bounded operators, spectral properties of elements of semisimple Lie algebras and simultaneous triangularisation are expounded. The book is self-contained and features an extensive bibliography. It is aimed at postgraduate students and researchers who are introduced to an interesting recent area of research and will learn some new methods useful for both of the domains - operator theory and Lie algebra theory.
Variant and related titles
Springer ebooks.
Other formats
Printed edition:
Added to Catalog
February 05, 2013
Series
Operator Theory: Advances and Applications ; 120
Also listed under
SpringerLink (Online service)