Constructive Analysis of Semicircular Elements

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A01=Ilwoo Cho
Algebra
Author_Ilwoo Cho
Banach operators on semicircular elements
Banach Space
Banach space analysis
Category=PBF
Category=PBK
Category=PBT
Circular Elements
Circular Law
Classical Measure Theory
Combinatorial Characterization
Countable Infinity
Distinct Partitions
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Free Distribution
Free Filterization
Free Moments
Free Probability
free probability theory
functional analysis applications
Hilbert Space
Identical Entries
Isomorphism Theorem
Kronecker Delta
Maximal Block
Maximal Element
Mutually Free
Noncrossing Partition
Number Fields
operator algebras
Operator Theory
Operators
orthogonal projection methods
Orthogonal Projections
p-adic number theory
Probability Theory
Resulted Partition
Von Neumann Algebra

Product details

  • ISBN 9781032448336
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 12 May 2023
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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 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.

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