Constructive Analysis of Semicircular Elements: From Orthogonal Projections to Semicircular Elements

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Ilwoo Cho (Saint Ambrose University, Iowa)

Constructive Analysis of Semicircular Elements

From Orthogonal Projections to Semicircular Elements

Ilwoo Cho (Saint Ambrose University, Iowa)

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English

Chapman & Hall/CRC
12 May 2023

Algebra; Calculus & mathematical analysis; Probability & statistics

Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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

By: Ilwoo Cho (Saint Ambrose University Iowa)
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 530g
ISBN: 9781032448336
ISBN 10: 1032448334
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Pages: 188
Publication Date: 12 May 2023
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

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.

Ilwoo Cho is currently professor at St. Ambrose University, Iowa. Dr Cho earned his PhD in Mathematics from University of Iowa in 2005 and his master’s degree from Sungkyunkwan University in 1999. Dr Cho's research interests include free probability, operator algebra and theory, combinatorics, and groupoid dynamical systems.