Constructive Analysis of Semicircular Elements

From Orthogonal Projections to Semicircular Elements

By: Ilwoo Cho

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eText | 12 May 2023 | Edition Number 1

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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.

FEATURES

Suitable for graduate students and professional researchers in operator theory and/or analysis
Numerous applications in related scientific fields and areas