1st Edition

Constructive Analysis of Semicircular Elements From Orthogonal Projections to Semicircular Elements

By Ilwoo Cho Copyright 2023
    198 Pages
    by Chapman & Hall

    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.


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

    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.