Dynamics and Chaotic of Polynomials on Quasi Banach Spaces

Abstract

In the present paper, the concepts of a quasi-metric space, quasi-Banach space have been introduced. We prove some facts which are defined on these spaces and define some polynomials on quasi-Banach spaces and studied their dynamics, such as, quasi cyclic and quasi hypercyclic. We show the existence of quasi chaotic in the sense of Devaney (quasi D-chaotic) polynomials on quasi Banach space of q-summable sequences lq , 0