English

On Multivariate Matsaev's Conjecture

Functional Analysis 2020-12-14 v7

Abstract

In this article, we study multivariate generalizations of the Matsaev's conjecture in commutative and non-commutative LpL^p-spaces.We prove that the multivariate analogue of Matsaev's conjecture is eventually false for all 1<p<.1<p<\infty. We exhibit various joint dilation results on non-commutative LpL^p-spaces.

Cite

@article{arxiv.1703.00733,
  title  = {On Multivariate Matsaev's Conjecture},
  author = {Samya Kumar Ray},
  journal= {arXiv preprint arXiv:1703.00733},
  year   = {2020}
}

Comments

19 pages. This is well-written version and many corrections have been made. Commutativity of the unitary operators in the dilation theorem is explained

R2 v1 2026-06-22T18:33:30.222Z