Constructive Analysis of Semicircular Elements

From Orthogonal Projections to Semicircular Elements

Gebonden Engels 2023 9781032448336
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This book not only examines the constructions and free-probabilistic properties of semicircular elements, as defined within the text, but also considers certain Banach-space operators acting on these semicircular elements and shows how they deform (i.e., preserve-or-distort) the semicircular law induced by orthogonal projections.

FEATURESSuitable for graduate students and professional researchers in operator theory and/or analysisNumerous applications in related scientific fields and areas

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Inhoudsopgave

1. Introduction. 2. Semicircular Elements Induced by p-Adic Number Fields Qp. 3. Semicircular Elements Induced by Orthogonal Projections. 4. Certain Banach-Space Operators on LQ [N]. 5. Discussion.

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          Constructive Analysis of Semicircular Elements