Topological algebras of operators
Abstract
Various methods of topologization of an algebra of unbounded operators are studied. For an algebra of unbounded operators with involution the uniform topology is defined and investigated. The notions of an Õ∗-algebra and AÕ∗-algebra are defined, which are generalizations of the notions of a C∗-algebra and B∗-algebra. Examples illustrate how the developed idea works.
- Publication:
-
Reports on Mathematical Physics
- Pub Date:
- December 1972
- DOI:
- 10.1016/0034-4877(72)90012-2
- Bibcode:
- 1972RpMP....3..279L