On Multivariate Matsaev's Conjecture
Abstract
In this article, we study multivariate generalizations of the Matsaev's conjecture in commutative and non-commutative Lp-spaces.We prove that the multivariate analogue of Matsaev's conjecture is eventually false for all 1<p<∞. We exhibit various joint dilation results on non-commutative Lp-spaces.
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