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Banach *-algebras generated by semicircular elements induced by certain orthogonal projections

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The main purpose of this paper is to study structure theorems of Banach \(*\)-algebras generated by semicircular elements. In particular, we are interested in the cases where given semicircular elements… Click to show full abstract

The main purpose of this paper is to study structure theorems of Banach \(*\)-algebras generated by semicircular elements. In particular, we are interested in the cases where given semicircular elements are induced by orthogonal projections in a \(C^{*}\)-probability space.

Keywords: elements induced; algebras generated; banach algebras; generated semicircular; orthogonal projections; semicircular elements

Journal Title: Opuscula Mathematica
Year Published: 2018

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