Fundamentals of the Theory of Operator Algebras. Volume IAmerican Mathematical Soc., 1997 - 1074 pages This first part of this two-volume work presents an introduction to functional analysis and the initial fundamentals of C ]* - and Von Neumann algebra theory in a form suitable for both intermediate graduate courses and self-study. The authors provide a clear account of the introductory portions of this important and technically difficult subject. Well supplied with exercises, the text assumes only basic measure theory and topology. The books present the possibility for the design of numerous courses aimed at different audiences. |
Table des matières
| 1 | |
Chapter 2 Basics of Hilbert Space and Linear Operators | 75 |
Chapter 3 Banach Algebras | 173 |
Chapter 4 Elementary CAlgebra Theory | 236 |
Chapter 5 Elementary von Neumann Algebra Theory | 304 |
Bibliography | 384 |
| 387 | |
| 391 | |
Autres éditions - Tout afficher
Fundamentals of the Theory of Operator Algebras, Partie 1 Richard V. Kadison,John R. Ringrose Aucun aperçu disponible - 1983 |
Fundamentals of the Theory of Operator Algebras, Partie 1 Richard V. Kadison,John R. Ringrose Aucun aperçu disponible - 1983 |
Expressions et termes fréquents
abelian von Neumann adjoint Banach algebra Banach space bounded linear functional bounded linear operator C*-algebra C*-algebra QI characteristic function clopen set closed subspace closure commutative compact Hausdorff space contains continuous function continuous linear functional converges Corollary corresponding countable denote dual space equation example Exercise follows function calculus function f functions in C(X Hausdorff space Hence hermitian Hilbert space Hilbert–Schmidt homomorphism identity inequality inner product inverse isometric isomorphism Lemma linear space linear subspace locally convex space measure multiplicative linear functional neighborhood Neumann algebra non-zero normal normed space null space open set open subset operators acting orthogonal orthonormal basis polynomials positive linear functional projection Proof Proposition prove range representation self-adjoint element self-adjoint operator semi-norms sequence Show sp(A spectral strong-operator continuous strong-operator topology subalgebra Suppose Theorem unique unit ball unitary operator vanishes vector space weak-operator