Recent Advances in Operator Theory and Operator Algebras

Hari Bercovici, Elias Katsoulis, David Kerr, Dan Timotin (Autoren)

Buch | Hardcover

166 Seiten

2017
CRC Press (Verlag)
978-1-138-03021-3 (ISBN)

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This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.

Hari Bercovici is a Professor in the Department of Mathematics at the Indian University Bloomington, USA.David Kerr is Professor in the Department of Mathematics at the Texas A&M University, USA.Elias G Katsoulis is a Professor in the Department of Mathematics at the East Carolina University, USA.Dan Grigore Timotin is a Professor at the Institute of Mathematics of the Romanian Academy, Romania.

Operator theory and Schubert calculus. Three questions in operator theory. Schubert calculus. The Littlewood-Richardson rule. Practical intersection theory. Back to operators. Bibliography. Non-Self adjoint Operator Algebras: dynamics, classi_cation and C_-envelopes. Introduction. Examples. C*correspondences. Adding tails to a C_-correspondence. The C_-envelope of an operator algebra. Dynamics and classi_cation of operator algebras. Crossed products of operator algebras. Local maps and representation theory. Bibliography. An introduction to Sofic entropy. Introduction. Internal and external approximation. Amenable measure entropy. Amenable topological entropy. Sofic measure entropy. Sofic topological entropy. Dualizing Sofic measure entropy. Algebraic actions. Further developments. Bibliography. The solution of the Kadison-Singer Problem: yet another presentation. Introduction. The Kadison-Singer problem. Intermezzo: what we will do next and why. Analytic functions and univariate polynomials. Several variables: real stable polynomials. Characteristic and mixed characteristic polynomials. Randomisation. Proof of the Paving Conjecture. Final Remarks. Bibliography.

Erscheinungsdatum	30.01.2018
Zusatzinfo	5 Illustrations, black and white
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	362 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-138-03021-X / 113803021X
ISBN-13	978-1-138-03021-3 / 9781138030213
Zustand	Neuware