Barrenechea, A. L.; Pena, C. C. Some observations concerning the non-existence of bounded differentials on weighted \(\ell^1\) algebras. (English) Zbl 1049.47037 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 19, 215-219 (2003). Summary: We consider Banach algebras of weighted absolutely summing complex sequences, endowed with Cauchy type product. In this frame it is proved that the only bounded differentials are zero. MSC: 47B48 Linear operators on Banach algebras Keywords:degree reducing operator; integro-differentiation procceses; sequence spaces; Hadamard products PDFBibTeX XMLCite \textit{A. L. Barrenechea} and \textit{C. C. Pena}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 19, 215--219 (2003; Zbl 1049.47037) Full Text: EuDML