Sufficient and necessary conditions for generalized Hölder's inequality in p-summable sequence spaces
arXiv:1812.06612
Abstract
In this paper, we discuss the generalized Hölder's inequality in p-summable sequence spaces. In particular, we shall prove sufficient and necessary conditions for generalized Hölder's inequality in those spaces. One of the keys to prove our results is to estimate the norms of characteristic sequences in \mathbb{R}.
5 pages