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Mathematics:Algebra:Abstract
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Lie Algebras and Bounded Operators, Beltita, Daniel; Sabac, Mihai
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Author Name:    Beltita, Daniel; Sabac, Mihai

Title:   Lie Algebras and Bounded Operators

Binding:   Hardcover

Book Condition:   New

Publisher:    Birkhäuser 

ISBN Number:   3764364041 / 9783764364045

Seller ID:   ING9783764364045

3764364041 Special order direct from the distributor

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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.



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