Some convexity theorems for the generalized numerical ranges

Linear and Multilinear Algebra

Volumn 40, Issue 3, 1996, Pages 235-240

  Li, Chi Kwong ^a  

^a Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041937095     PISSN: 03081087     EISSN: None     Source Type: Journal    
DOI: 10.1080/03081089608818441     Document Type: Article

References (8)

1. [AL] T. Ando and C. K. Li (editors), Special issue on the numerical range and numerical radius, Linear and Multilinear Algebra 37 (1994), 1-3.
2. [AT] Y. H. Au-Yeung and N. K. Tsing, An extension of the Hausdorff-Toeplitz theorem on the numerical range, Proc. AMS 89 (1983), 215-218.
3. [GS] M. Goldberg and E. G. Straus, Elementary inclusion relations for generalized numerical ranges, Linear Algebra Appl. 18 (1977), 1-24.
4. [HJ] R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press (1991).
5. [L] C. K. Li, C-numerical ranges and C-numerical radii, Linear and Multilinear Algebra 37 (1994), 51-82.
6. [MA] M. Marcus and P. Andresen, Constrained extrema of bilinear functionals, Monatsh. Math. 84 (1977), 219-235.
7. [N] H. Nakazato, The C-numerical range of a 2 × 2 matrix, Sci. Rep. Hirosaki Univ. 41 (1994), 197-206.
8. [T] N. K. Tsing, The constrained bilinear form and the C-numerical range, Linear Algebra Appl. 56 (1984), 195-206.