Locally closedness of unbounded derivations in $C\sp*$-algebras

Derivations on Algebras of Unbounded Operators

This paper is a study of derivations on unbounded operator algebras in connection with those in operator algebras. In particular we study spatiality of derivations in several situations. We give the characterization of derivations on general «-algebras by using positive linear functionals. We also show that a derivation with some range-property on a left ■EW*-algebra induced by an unbounded Hub...

Unbounded Nondeterminism in CSP

We extend the failures/divergences model for CSP to include a component of infinite traces. This allows us to give a denotational semantics for a version of CSP including general nondeterministic choice and infinite hiding. Unfortunately the model is an incomplete partial order, so it is by no means obvious that the necessary fixed points exist. We have two proofs of this result, one via a cong...

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

Structure of Contact Lie Algebras Related to Locally-Finite Derivations

Classical contact Lie algebras are the fundamental algebraic structures on the manifolds of contact elements of configuration spaces in classical mechanics. In this paper, we determine the structure of the currently largest known category of contact simple Lie algebras introduced earlier by the second author. These algebras are in general not finitely-graded.

σ-Derivations in Banach algebras