Determinantal polynomials of a weighted shift operator

Abstract

A q-analog expression of the determinantal polynomial of a weighted shift operator is introduced and applied to find the numerical radius of the operator.

Keywords:

• weighted shift operator
• q-analog
• numerical radius
• point spectrum

AMS Subject Classifications:

• 47A12
• 47B37

Additional information

Funding

The first author was partially supported by Taiwan Ministry of Science and Technology under MOST 103-2115-M-031-001, and the J. T. Tai & Co Foundation Visiting Research Program.