Representability of invariant positive sesquilinear forms on partial *-algebras
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Publication:3350179
DOI10.1017/S0305004100069206zbMath0726.46038MaRDI QIDQ3350179
Jean-Pierre Antoine, Atsushi Inoue
Publication date: 1990
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
weak representabilityinvariant positive sesquilinear forms on a partial *-algebrarelationship between extendability and representabilitystrict unrepresentability
Representations of topological algebras with involution (46K10) Algebras of unbounded operators; partial algebras of operators (47L60)
Related Items (9)
On the regularity of the partial \(O^*\)-algebras generated by a closed symmetric operator ⋮ A Radon–Nikodým theorem for local completely positive invariant multilinear maps ⋮ Normal forms on partial O*-algebras ⋮ Representation of completely positive maps between partial *-algebras ⋮ Biweights on partial *-algebras ⋮ Extensions of representable positive linear functionals to unitized quasi *-algebras: a new method ⋮ Standard partial \(O^*\)-algebras ⋮ Some characterizations of partial algebras ⋮ Representations of invariant multilinear maps on Hilbert \(C^*\)-modules
Cites Work
- An unbounded generalization of the Tomita-Takesaki theory
- Partial \({}^*\)-algebras of closable operators. I: The basic theory and the abelian case
- Algebras of unbounded operators and quantum dynamics
- Partial *-algebras of closed linear operators in Hilbert space
- An unbounded generalization of the Tomita-Takesaki theory. II
- Unbounded representations of \(^*\)-algebras
- A Radon-Nikodym theorem for *-algebras
- Self-adjoint algebras of unbounded operators
- Topological algebras of operators
- Representations of Locally Convex ∗ -Algebras
- On the Integral Representation of Positive Linear Functionals
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