English

On weighted mean matrices whose $l^p$ norms are determined on decreasing sequences

Functional Analysis 2008-10-07 v1

Abstract

We give a condition on weighted mean matrices so that their lpl^p norms are determined on decreasing sequences when the condition is satisfied. We apply our result to give a proof of a conjecture of Bennett and discuss some related results.

Keywords

Cite

@article{arxiv.0810.0888,
  title  = {On weighted mean matrices whose $l^p$ norms are determined on decreasing sequences},
  author = {Peng Gao},
  journal= {arXiv preprint arXiv:0810.0888},
  year   = {2008}
}

Comments

12 pages

R2 v1 2026-06-21T11:27:34.956Z