RANDOM TOEPLITZ OPERATORS AND EIGENVALUE DISTRIBUTION

作者:Ke, Wen-Fong; Lai, King-Fai; Lee, Tsung-Lin*; Wong, Ngai-Ching
来源:Journal of Nonlinear and Convex Analysis, 2016, 17(9): 1717-1728.

摘要

In this paper, we establish the algebraic properties of random Toeplitz operators following Brown and Halmos, and the Fourier theory of Toeplitz forms following Szego. We also study the distribution of the eigenvalue functions of a random Toeplitz matrix.