Nörlund Operators On lp
1993 ◽
Vol 36
(1)
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pp. 8-14
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AbstractThe 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 = ∞.
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2019 ◽
Vol 18
(02)
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pp. 1950021
1974 ◽
Vol 26
(6)
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pp. 1380-1383
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2012 ◽
Vol 349
(1)
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pp. 201-216
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Keyword(s):
2003 ◽
Vol 367
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pp. 105-130
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