Tali, Anne2024-07-122024-07-122009Tali, A. (2009). On families of generalized N¨orlund matrices as bounded operators on lp. Maltepe Üniversitesi. s. 106.https://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=331https://hdl.handle.net/20.500.12415/2329Let lp (p ? 1) be the Banach space of all complex sequences x = (xn) (n ? N0), and let B(lp) be the Banach algebra of all bounded linear operators on lp. Any operator from B(lp) can be represented in form of a matrix A = (ank) (n, k ? N0) but, of course, not any matrix is in B(lp). The question how to characterize the matrices in B(lp) (by means of conditions that are not difficult to apply) has been discussed in a number of papers. Different types of conditions (mostly sufficient) for A to be in B(lp) in general and, in particular, for N¨orlund, Riesz and Hausdorff matrices has been proved, also the estimates for norms kAkp has been found (see e.g. [1] for references).enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object107106