Constructive Analysis of Semicircular Elements

From Orthogonal Projections to Semicircular Elements

Ilwoo Cho (Autor)

Buch | Hardcover

188 Seiten

2023
Chapman & Hall/CRC (Verlag)
978-1-032-44833-6 (ISBN)

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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 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.

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

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.

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.

Erscheinungsdatum	29.04.2023
Reihe/Serie	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Sprache	englisch
Maße	156 x 234 mm
Gewicht	530 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-032-44833-4 / 1032448334
ISBN-13	978-1-032-44833-6 / 9781032448336
Zustand	Neuware