Mathematical Discussion with Aono

arimoto@iname.com

04/04/01

 

04/03/27

Nice paper on the numerical range

Joel H. Shapiro:
Notes on the numerical range September 19,2003

a correspondence with Shapiro

04/03/26

Numerical range of nilpotent matrix is a circle with the center of the origin 0.

Inequalities Governing the Operator Radii Associated with Unitary ρ-Dilations
John A.R. Holbrook
Michigan Math. J. 18(1971) 149-159

The Powers of an Operator of Numerical Radius One
Michael J. Crabb
Michigan Math. J. 18(1971)253-257

Convexity Properties of Operator radii Associate with Unitary ρ-Dilations
Tsuyoshi Ando and Katsutoshi Nishio
Michigan Math. J. 20 (1973)303-307

Operator Radii of Commuting Products
K. Okubo and T.Ando
Proceedings of American mathematical Society(1976)203-210

The Numerical Radius of a Commuting Product
Vlsdimir Muller
Michigan Math. J. 35(1988) 255-260

Numerical Radii of Zero-One matrices,
Kenneth R.Davidson and John A.R.Holbrook
Michigan Math. J. 35(1988) 261-267

 

04/03/09

numerical_range.pdf

U.Haagerup and P.de la Harpe,
The numerical radius of a nilpotent operator on a Hilbert space,
Proc.Amer.Math.Soc.115(1992)371-379

J.S.Lancaster
The boundary of the numerical range
Proc.Amer.Math.Soc.49(1975)393-398

C.K.Li and N.K.Tsing
Matrices with circular symmetry on their unitary orbits and C-numerical range
Proc.Amer.Math.Soc.111(1991)19-28

04/01/08

03/12/23