Popescu G. Unitary invariants in multivariable operator theory. - Providence: American Mathematical Society, 2009. - vi, 91 p. - (Memoirs of the American Mathematical Society; Vol.200, N 941). - Bibliogr.: p.89-91. - ISBN 978-0-8218-4396-3; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Contents

Introduction .................................................... 1 Chapter 1. Unitary invariants for n-tuples of operators ......... 7 1.1. Joint numerical radius ..................................... 7 1.2. Euclidean operator radius ................................. 25 1.3. Joint numerical range and spectrum ........................ 31 1.4. p-operator radius ......................................... 41 Chapter 2. Joint operator radii, inequalities, and applications ........................................ 55 2.1. von Neumann inequalities .................................. 55 2.2. Constrained von Neumann inequalities ...................... 64 2.3. Multivariable Haagerup-de la Harpe inequalities ........... 73 2.4. Multivariable Fejer inequalities .......................... 83 Bibliography ................................................... 89