Article ID Journal Published Year Pages File Type
4601434 Linear Algebra and its Applications 2011 7 Pages PDF
Abstract

We present an effective algorithm for estimating the norm of an operator mapping a low-dimensional ℓpℓp space to a Banach space with an easily computable norm. We use that algorithm to show that Matsaev’s proposed extension of the inequality of John von Neumann is false in case p=4p=4. Matsaev conjectured that for every contraction T   on LpLp (1

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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