Range and Null Space of Weighted Composition Operators on lp Spaces


Pradeep Kumar
Directorate of Census Operations Uttarakhand. L.D. Tower-3, Near Mata Wala Bagh, Saharanpur Road, Dehradun


Let lp (1 ≤ p≤ ∞) be the Banach space of all p-summable sequences (bounded sequences for p = 1) of complex numbers under the standard p-norm on it and C be a composition operator on lp induced by a function Ф on N into itself. In this paper we discuss range and null space of weighted composition operators on lp spaces.

ICAMCS19 Cover Page
August 8, 2020
Online ISSN