The numerical range of banded biperiodic Toeplitz operators

作者：Bebiano N^*; da Providencia J; Nata A

来源：Journal of Mathematical Analysis and Applications, 2013, 398(1): 189-197.

DOI：10.1016/j.jmaa.2012.08.029

• Numerical range
• Banded biperiodic Toeplitz operators

The numerical range of an operator is a well studied concept with many applications in several areas of mathematics. In this paper, the numerical range of banded biperiodic Toeplitz operators is investigated, performing a reduction to the 2 x 2 case. Namely, the parametric equations of the boundary generating curves are deduced and two algorithms for the numerical generation of the numerical range are presented.

• 出版日期2013-2-1