Simple Conditions for Matrices to be Bounded Operators on lp
Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 10-14
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The two theorems proved yield simple yet reasonably general conditions for triangular matrices to be bounded operators on ${{l}_{p}}$ . The theorems are applied to Nörlund and weighted mean matrices.
Mots-clés :
47B37, 47A30, 40G05, Triangular matrices, Nörlund matrices, weighted means, operators on lp
Borwein, David. Simple Conditions for Matrices to be Bounded Operators on lp. Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 10-14. doi: 10.4153/CMB-1998-002-7
@article{10_4153_CMB_1998_002_7,
author = {Borwein, David},
title = {Simple {Conditions} for {Matrices} to be {Bounded} {Operators} on lp},
journal = {Canadian mathematical bulletin},
pages = {10--14},
year = {1998},
volume = {41},
number = {1},
doi = {10.4153/CMB-1998-002-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-002-7/}
}
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