Partial *-algebras, a tool for the mathematical description of physical systems ?
(2007) Contributions in Mathematical Physics: A Tribute to Gerard G. Emch — ISBN: [81-85931-79-8], p. 37-68, published
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- Authors
Antoine, Jean-Pierre 
- Abstract
- 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.
- Affiliations
Citations
Antoine, J.-P. (2007). Partial *-algebras, a tool for the mathematical description of physical systems ? In S. Twareque Ali and Kalyan B. Sinha (eds) (ed.), Contributions in Mathematical Physics: A Tribute to Gerard G. Emch (p. p. 37-68). Hindustan Book Agency. https://hdl.handle.net/2078.5/25457