Fundamentals of the Theory of Operator Algebras: Special Topics, Elementary Theory - An Exercise ApproachAmerican Mathematical Soc., 1998 - 587 pages This volume is the companion volume to Fundamentals of the Theory of Operator Algebras - Volume I: Elementary Theory. The goal of the text is to teach the subject and lead readers to where the literature - in the subject specifically and in its many applications - becomes accessible. The choice of material was made from among the fundamentals of what may be called the classical theory of operator algebras. This volume contains written solutions to the exercises in the Fundamentals of the Theory of Operator Algebras. Volume I: Elementary Theory. |
Autres éditions - Tout afficher
Fundamentals of the Theory of Operator Algebras: Advanced Theory ..., Volume 4 Richard V. Kadison,John R. Ringrose Aucun aperçu disponible - 1983 |
Fundamentals of the Theory of Operator Algebras: Special Topics Advanced ... KADISON,RINGROSE Aucun aperçu disponible - 1983 |
Expressions et termes fréquents
A₁ abelian abelian projection assumption aut(A automorphism bounded linear C*-algebra central carrier central projection choose commutes compact contains Corollary coU(R countably countably decomposable cyclic projections Deduce defined dense E₁ equivalent factor of type faithful normal family of projections finite type follows from Exercise Hence Hilbert space Hint homomorphism implemented isomorphism K₁ Lemma linear span matricial matrix units maximal abelian subalgebra modular Neumann algebra acting non-zero projection norm-closed notation of Exercise orthogonal family P₁ partial isometry positive integer positive linear mapping prim(A projection F properly infinite Proposition Prove range representation result of Exercise scalar self-adjoint element self-adjoint operator sequence Solution space H subfactor subprojection Suppose Theorem tracial two-sided ideal type I subfactor type II₁ ultraweak ultraweakly continuous unique unit vector unitary elements unitary operator unitary transformation vector in H von Neumann algebra weak