Constructive Analysis of Semicircular Elements From Orthogonal Projections to Semicircular Elements

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  • Author: Ilwoo Cho
  • ISBN: 9781032448336
  • Availability: In Stock

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ABOUT THE BOOK

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

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

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