ABSTRACT

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

chapter Chapter 1|32 pages

Introduction

chapter Chapter 4|42 pages

Certain Banach-Space Operators on 𝕃 Q [N]

chapter Chapter 5|3 pages

Discussion