A Survey on the Behavior of the Resolvent of Weighted Shift Operator

Authors

  • Ali A. Shukur Computer Technical Engineering Department, College of Technical Engineering, The Islamic University, Najaf, Iraq and Department of Functional Analysis, Belarusian State University, St. Nisovizimosti 4, 22003, Minsk, Belarus.

DOI:

https://doi.org/10.9734/bpi/ctmcs/v1/9298D

Keywords:

Cesaro averages, power-bounded operator, Kriess resolvent condition, Ritt resolvent condition, weighted shift operator

Abstract

In this survey, we review some results on the behavior of the resolvent of weighted shift operator. In particular, the relation between the coefficients of the mentioned operators, the behavior of the Cesaro averages and the behavior of the resolvent were considered.

Published

2021-05-26

How to Cite

Ali A. Shukur. (2021). A Survey on the Behavior of the Resolvent of Weighted Shift Operator. Current Topics on Mathematics and Computer Science Vol. 1, 36–45. https://doi.org/10.9734/bpi/ctmcs/v1/9298D

Issue

Current Topics on Mathematics and Computer Science Vol. 1

Section

Chapters