Strong Factorizations of Operators with Applications to Fourier and Cesàro Transforms

The first author gratefully acknowledge the support of the Ministerio de Economia y Competitividad (project #MTM2015-65888-C4-1-P) and the Junta de Andalucia (project FQM-7276), Spain. The second author was supported by National Science Centre, Poland, project no. 2015/17/B/ST1/00064. The third author acknowledges with thanks the support of the Ministerio de Economia y Competitividad (project MTM2016-77054-C2-1-P), Spain.