English

Ideals of mid p-summing operators: a tensor product approach

Functional Analysis 2021-11-24 v2

Abstract

In this article, we study the ideals of mid pp-summing operators. We obtain representation of these operator ideals by tensor norms. These tensor norms are defined by using a particular kind of sequential dual of the class of mid pp-summable sequences. As a consequence, we prove a characterization of the adjoints of weakly and absolutely mid pp-summing operators in terms of the operators that are defined by the transformation of dual spaces of certain vector-valued sequence spaces.

Keywords

Cite

@article{arxiv.2106.06790,
  title  = {Ideals of mid p-summing operators: a tensor product approach},
  author = {Deepika Baweja and Aleena Philip},
  journal= {arXiv preprint arXiv:2106.06790},
  year   = {2021}
}