star algebra

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star algebra

[′stär ‚al·jə·brə]
(mathematics)
A real or complex algebra on which an involution is defined.
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References in periodicals archive ?
Let A be a topological *-algebra, that is, a topological algebra on which an involution a [right arrow] [a.
Now we consider the case when A is a topological *-algebra.
Let A be a sequentially Mackey complete topological *-algebra.
Let A be a unital sequentially Mackey complete topological *-algebra.
Let A be a unital sequentially Mackey complete topological *-algebra with continuous involution, for which [[beta].
In particular, when every maximal commutative unital *-subalgebra B of A is an invertive simplicial Gelfand-Mazur *-algebra, then [sp.
Let A be a unital complete locally m-(k-convex) Hausdorff *-algebra with continuous involution.
Let A be a topological *-algebra in which every maximal commutative *-subalgebra is an advertive simplicial Gelfand-Mazur *-algebra and let [h.
Let A be a complete locally m-pseudoconvex Hausdorff *-algebra and [h.
Then B is a commutative complete locally m-pseudoconvex Hausdorff *-algebra.
7) He considered the case when A is a pseudocomplete locally convex *-algebra.
At several places in the development of the theory of topological *-algebras (especially, of the theory of Banach *-algebras and locally m-convex *-algebras) a self-adjoint square root for a self-adjoint element with a positive spectrum is needed.