The main aim of this paper is to complete and improve the former results for the spectrum and …ne spectrum of the generalized di¤erence operator a;b over the sequence space c which were proved by the authors in [A.M. Akhmedov, S.R. El-Shabrawy, On the …ne spectrum of the operator a;b over the sequence space c, Comput. Math. Appl. 61 (2011) 2994-3002]. The improved results cover a wider class of...

Sugarcane is a crop valued mainly for the high sucrose content in its cane stalks. Since sucrose is the most essential part of commercial cane sugar (CCS), it automatically becomes the top priority for farmers, and consequently, for breeders and agronomists as well. In the mature internodes, sucrose content can reach around 25% of the fresh weight of the culm. However, the rapid inversion and d...