Böcker av Ilwoo (Saint Ambrose University Cho

This book offers novel insights through operator-algebraic and free-probabilistic models. By employing these innovative methods, the author sheds new light on the intrinsic connections between Clifford algebras and various mathematical domains.

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 introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, K-theory, and index theory.