Quaternionic Hilbert spaces and a von Neumann inequality

Daniel Alpay, H. Turgay Kaptanoǧlu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We show that Drury's proof of the generalisation of the von Neumann inequality to the case of contractive rows of N-tuples of commuting operators still holds in the quaternionic case. The arguments require a seemingly new result on tensor products of quaternionic Hilbert spaces.

Original languageEnglish
Pages (from-to)667-675
Number of pages9
JournalComplex Variables and Elliptic Equations
Volume57
Issue number6
DOIs
StatePublished - 1 Jun 2012

Keywords

  • Drury-Arveson space
  • quaternionic Hilbert spaces
  • reproducing kernel Hilbert spaces
  • tensor products
  • von Neumann inequality

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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