Local Operators and Derivations on C ∗ -Algebras
Copyright policy )Local Operators and Derivations on C ∗ -Algebras
The variations on a theme of locality for a pair of operators ( H , K ) (H,K) on a C ∗ {C^\ast } -algebra A \mathfrak {A} are expressed algebraically. If K K is a ∗ \ast -derivation generating an action of R \mathbb {R} on A \mathfrak {A} , and H H is ∗ \ast -linear and K K -local, then, under certain restrictions, H H is shown to be very closely related to K K .
one-parameter group of *-automorphisms, States of selfadjoint operator algebras, local operator, generator, General theory of von Neumann algebras, completely strongly K-local, Commutators, derivations, elementary operators, etc., derivation, Noncommutative dynamical systems, C*-dynamical system
one-parameter group of *-automorphisms, States of selfadjoint operator algebras, local operator, generator, General theory of von Neumann algebras, completely strongly K-local, Commutators, derivations, elementary operators, etc., derivation, Noncommutative dynamical systems, C*-dynamical system
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