Some recent talks of Chi-Kwong Li

2006

• Upper bounds for the norm of the sum of two operators and related results
• On dispersal and population growth for multistate matrix models
• Induced operators on symmetry classes of tensors
• Spectrum preserving maps
• Numerical ranges, dilations, and norms

2005

• Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices
• On dispersal and population growth for multistate matrix models
• Research with undergraduates: From the mathematical educational viewpoint
• Recent study in preserver problems: Spectrum preserving maps
• Eigenvalue and singular value inequalities: Some recent results
• Posing questions, solving problems, and doing research in mathematics
• Distance preserving maps on matrices
• Numerical range (radius) preserving maps

2004

• Eigenvalues and singular values of perturbed matrices
• Research with undergraduates
• Some possible undergraduate research projects
• Extension of the total least square problem using general unitarily invariant norms
• Eigenvalues, singular values, and Littlewood-Richardson coefficients
• Geometric means
• Linear operators on matrix algebras that preserve the numerical ranges, the numerical radius, or the states.
• Recent study in preserver problems: Mappings between different matrix spaces
• The definite generalized eigenvalue problem
• Numerical ranges, numerical radii, and multiplicative preservers
• H-unitary and Lorentz matrices
• Isometry of Ky Fan k-norms