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Lie Algebras of Bounded Operators
Beltita, Daniel; Sabac, Mihai
€ 71.41
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Description for Lie Algebras of Bounded Operators
hardcover. Expounds 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. This book is suitable for postgraduate students and researchers. Series: Operator Theory: Advances and Applications. Num Pages: 227 pages, biography. BIC Classification: PBF; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 14. Weight in Grams: 509.
In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well. For example, the classical Lie Theorem asserts that all finite-dimensional irreducible representations of solvable Lie algebras are one-dimensional. Hence, from this point of view, the solvable Lie algebras cannot be distinguished from one another, that is, they cannot be classified. Even this example alone urges the infinite-dimensional vector spaces to appear on ... Read more
In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well. For example, the classical Lie Theorem asserts that all finite-dimensional irreducible representations of solvable Lie algebras are one-dimensional. Hence, from this point of view, the solvable Lie algebras cannot be distinguished from one another, that is, they cannot be classified. Even this example alone urges the infinite-dimensional vector spaces to appear on ... Read more
Product Details
Format
Hardback
Publication date
2001
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
227
Condition
New
Series
Operator Theory: Advances and Applications
Number of Pages
219
Place of Publication
Basel, Switzerland
ISBN
9783764364045
SKU
V9783764364045
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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