6533b7cefe1ef96bd1257926
RESEARCH PRODUCT
Partial *-Algebras of Operators in a PIP-Space
Jean-pierre AntoineCamillo Trapanisubject
symbols.namesakePure mathematicsComplete latticeHilbert spacesymbolsStructure (category theory)MultiplicationAlgebra over a fieldSpace (mathematics)Dual pairMathematicsdescription
The family of operators on a pip-space V is endowed with two, possibly different, partial multiplications, where partial means that the multiplication is not defined for any pair A,B of elements of Op(V) but only for certain couples. The two multiplications, to be called strong and weak, give rise to two different structures that coincide in certain situations. In this chapter we will discuss first the structure of Op(V) as partial *-algebra in the sense of [AIT02] and then the possibility of representing an abstract partial *-algebra into Op(V).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 |