Overview

Full Product Details

Author:   Daniel Beltita ,  Mihai Sabac
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2001 ed.
Volume:   120
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   1.130kg
ISBN:  

9783764364045

ISBN 10:   3764364041
Pages:   219
Publication Date:   01 April 2001
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

I Preliminaries.- A Lie Algebras.- B Complexes.- C Spectral Theory in Complex Banach Space.- II The Commutators and Nilpotence Criteria.- § 15 An asymptotic formula for the commutators.- § 16 Nilpotence criteria in an associative algebra.- § 17 Quasinilpotence and nilpotence criteria in complex Banach algebras.- § 18 Nilpotent elements in LM-decomposable Lie subalgebras of an associative algebra.- § 19 Nilpotent elements in LM-decomposable Lie algebras of bounded linear operators.- Notes.- III Infinite-dimensional Variants of the Lie and Engel Theorems.- § 20 Weights for operator algebras.- § 21 Invariant subspaces for LM-decomposable Lie algebras of bounded operators.- § 22 The irreducible representations of an LM-decomposable Lie algebra. Infinite-dimensional variant of Lie's Theorem on a complex Banach space.- § 23 The associative envelope of a Lie algebra of quasinilpotent operators.- § 24 Commutativity modulo the Jacobson radical.- Notes.- IV Spectral Theory for Solvable Lie Algebras of Operators.- § 25 Spectral theory for representations of Lie algebras.- § 26 Spectral theory for systems of operators generating nilpotent Lie algebras.- § 27 The Cartan-Taylor spectrum of a locally solvable Lie algebra of operators.- § 28 Lie ideals of generalized spectral operators.- Notes.- V Semisimple Lie Algebras of Operators.- § 29 Lie subalgebra with involution consisting of bounded operators on a complex Banach space. Normal elements given by a space of self-adjoint operators.- § 30 Individual spectral properties in ideally finite semisimple Lie algebras of operators.- § 31 Semisimple Lie algebras of compact quasinilpotent operators.- Notes.- List of Symbols.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions