On families of generalized N¨orlund matrices as bounded operators on lp
CitationTali, A. (2009). On families of generalized N¨orlund matrices as bounded operators on lp. Maltepe Üniversitesi. s. 106.
Let 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.  for references).
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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