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
|
