Quaternionic Hilbert spaces and a von Neumann inequality

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Quaternionic Hilbert spaces and a von Neumann inequality.pdf (303.3 KB)

Date

2012

Authors

Alpay, D.
Kaptanoğlu, H. T.

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Source Title

Complex Variables and Elliptic Equations

Print ISSN

1747-6933

Electronic ISSN

1747-6941

Publisher

Taylor & Francis

Volume

57

Issue

6

Pages

667 - 675

Language

English

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Article

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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. © 2012 Copyright Taylor and Francis Group, LLC.

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Keywords

Drury-Arveson space, Quaternionic Hilbert spaces, Reproducing kernel Hilbert spaces, Tensor products, Von Neumann inequality, Primary 47A60, Secondary 46A32, 47B32, 47S10

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http://hdl.handle.net/11693/21461

Published Version (Please cite this version)

http://dx.doi.org/10.1080/17476933.2010.534141

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Scholarly Publications - Mathematics