Geodesic
Matrices Whose Norms Are Determined by Their Actions on Decreasing Sequences
Canadian journal of mathematics, Tome 60 (2008) no. 3, pp. 520-531

Voir la notice de l'article provenant de la source Cambridge University Press

Let $A={{({{a}_{j,k}})}_{j,k\ge 1}}$ be a non-negative matrix. In this paper, we characterize those $A$ for which ${{\left\| A \right\|}_{E,F}}$ are determined by their actions on decreasing sequences, where $E$ and $F$ are suitable normed Riesz spaces of sequences. In particular, our results can apply to the following spaces: ${{\ell }_{p}}$ , $d(w,p)$ , and ${{\ell }_{p}}(w)$ . The results established here generalize ones given by Bennett; Chen, Luor, and Ou; Jameson; and Jameson and Lashkaripour.
DOI : 10.4153/CJM-2008-025-5
Mots-clés : 15A60, 40G05, 47A30, 47B37, 46B42, norms of matrices, normed Riesz spaces, weighted mean matrices, Nörlund mean matrices, summability matrices, matrices with row decreasing 
Chen, Chang-Pao; Huang, Hao-Wei. Matrices Whose Norms Are Determined by Their Actions on Decreasing Sequences. Canadian journal of mathematics, Tome 60 (2008) no. 3, pp. 520-531. doi: 10.4153/CJM-2008-025-5
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