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{{Short description|Algebra of possibly unbounded operators}}
{{format footnotes |date=May 2024}}
In [[mathematics]], an '''O*-algebra''' is an [[Operator algebra|algebra]] of possibly [[unbounded operator]]s defined on a dense subspace of a [[Hilbert space]]. The original examples were described by {{harvtxt|Borchers|1962}} and {{harvtxt|Uhlmann|1962}}, who studied some examples of O*-algebras, called [[Borchers algebra]]s, arising from the [[Wightman axioms]] of [[quantum field theory]]. {{harvtxt|Powers|1971}} and {{harvtxt|Lassner|1972}} began the systematic study of algebras of unbounded operators.
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