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E-raamat: Constructive Analysis of Semicircular Elements: From Orthogonal Projections to Semicircular Elements

(Saint Ambrose University, Iowa)
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"Constructive Analysis of Semicircular Elements: From Orthogonal Projections to Semicircular Elements 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. Features suitable for graduate students and professional researchers in operator theory and/or analysis. Numerous applications in related scientific fields and areas"--

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


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.

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 masters degree from Sungkyunkwan University in 1999. Dr Cho's research interests include free probability, operator algebra and theory, combinatorics, and groupoid dynamical systems.
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