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

by Ilwoo Cho

Overview

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

Product Details

ISBN-13:	9781000875119
Publisher:	CRC Press
Publication date:	05/12/2023
Series:	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	198
File size:	398 KB

About the Author

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.

Table of Contents

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.