Schur multiplier characterization of a class of infinite matrices |
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| Authors: | A Marcoci L Marcoci L E Persson N Popa |
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| Institution: | 1.Department of Mathematics and Informatics,Technical University of Civil Engineering Bucharest,Bucharest,Romania;2.Department of Mathematics,Lule? University of Technology,Lule?,Sweden;3.Department of Mathematics,University of Bucharest and Institute of Mathematics of Romanian Academy,Bucharest,Romania |
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| Abstract: | Let B
w
(ℓ
p
) denote the space of infinite matrices A for which A(x) ∈ ℓ
p
for all x = {x
k
}
k=1∞ ∈ ℓ
p
with |x
k
| ↘ 0. We characterize the upper triangular positive matrices from B
w
(ℓ
p
), 1 < p < ∞, by using a special kind of Schur multipliers and the G. Bennett factorization technique. Also some related results are
stated and discussed. |
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| Keywords: | |
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