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

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

Sommario

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.

Info autore

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.

Riassunto

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

Dettagli sul prodotto

• Autori: Ilwoo Cho, Ilwoo (Saint Ambrose University Cho, Ilwoo (St. Ambrose University) Cho, Cho Ilwoo
• Editore: Taylor & Francis Ltd.
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 01.05.2023
• EAN: 9781032448336
• ISBN: 978-1-0-3244833-6
• Pagine: 188
• Serie: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Teoria delle probabilità, stocastica, statistica matematica; Algebra, MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Algebra / General, Probability & statistics, Calculus & mathematical analysis, Probability and statistics, Calculus and mathematical analysis