English

Characterization of the matrix whose norm is determined by its action on decreasing sequences

Functional Analysis 2007-06-11 v1

Abstract

Let A=(aj,k)j,k1A=(a_{j,k})_{j,k \ge 1} be a non-negative matrix. In this paper, we characterize those AA for which AE,F\|A\|_{E, F} are determined by their actions on decreasing sequences, where EE and FF are suitable normed Riesz spaces of sequences.

Cite

@article{arxiv.0706.1098,
  title  = {Characterization of the matrix whose norm is determined by its action on decreasing sequences},
  author = {Chang-Pao Chen and Hao-Wei Huang and Chun-Yen Shen},
  journal= {arXiv preprint arXiv:0706.1098},
  year   = {2007}
}
R2 v1 2026-06-21T08:36:26.855Z