Antoine, Jean-Pierre
[UCL]
We review the main steps in the development of partial *-algebras. First we discuss the algebraic structure stemming from the partial multiplication. Then we study in some detail the locally convex partial *-algebras, in particular, the Banach partial *-algebras, and we describe a number of concrete examples.
Next we consider the partial *-algebras of closable operators in Hilbert spaces (partial O*-algebras), with a special emphasis on their *-automorphisms. Finally we sketch the representation theory of abstract partial *-algebras and give some instances of possible physical applications.
Bibliographic reference |
Antoine, Jean-Pierre. Partial *-algebras, a tool for the mathematical description of physical systems ?. In: S. Twareque Ali and Kalyan B. Sinha (eds), Contributions in Mathematical Physics: A Tribute to Gerard G. Emch, Hindustan Book Agency : New Delhi 2007, p. 37-68 |
Permanent URL |
http://hdl.handle.net/2078.1/108706 |