Geodesic
Nörlund Operators On lp
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 8-14

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The Nörlund matrix Na is the triangular matrix {an-k /An}, where an ≥ 0 and An := a0 + a1 + • • • + an > 0. It is proved that, subject to the existence of α := lim nan/An, Na ∊ B(lp) for 1 < p < ∞ if and only if α < ∞. It is also proved that it is possible to have Na ∊ B(lp) for 1 < p < ∞ when sup nan/An = ∞.
DOI : 10.4153/CMB-1993-002-x
Mots-clés : 47B37, 47A30, 40G05, Nörlund, operators on lp, norm estimates. 
Borwein, David. Nörlund Operators On lp. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 8-14. doi: 10.4153/CMB-1993-002-x
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