EUDML

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The stochastic limit in the analysis of some modified open BCS models

Fabio Bagarello — 2006

Banach Center Publications

Topological quasi *-algebras and the time evolution of $Q M_{\infty}$ systems

Fabio Bagarello — 2005

Banach Center Publications

We give here a survey of some recent results on applications of topological quasi *-algebras to the analysis of the time evolution of quantum systems with infinitely many degrees of freedom.

Quasi *-algebras of measurable operators

Fabio Bagarello; Camillo Trapani; Salvatore Triolo — 2006

Studia Mathematica

Non-commutative $L^{p}$ -spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For p ≥ 2 they are also proved to possess a sufficient family of bounded positive sesquilinear forms with certain invariance properties. CQ*-algebras of measurable operators over a finite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra (,₀) with a sufficient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra...