The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications

Abstract

The topological and geometric behaviors of the variable exponent formal power series space, as well as the prequasi-ideal construction by s-numbers and this function space of complex variables, are investigated in this article. Upper bounds for s-numbers of infinite series of the weighted nth power forward and backward shift operator on this function space are being investigated, with applications to some entire functions.