Lie Algebras of Bounded Operators
By: by Daniel Beltiţă, Mihai Şabac
Contributors: Şabac, Mihai
Series: Operator Theory: Advances and Applications -- 120; Operator theory, advances and applications -- 120.
Publisher: Birkhäuser Basel; Imprint; Birkhäuser
Published: 2001
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 219
ISBN-13: 9783034883320
Subjects: Mathematics
Description: 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.