Quaternionic Hilbert spaces and a von Neumann inequality
Date
2012
Authors
Alpay, D.
Kaptanoğlu, H. T.
Advisor
Instructor
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
Type
Article
Journal Title
Journal ISSN
Volume Title
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.
Course
Other identifiers
Book Title
Keywords
Drury-Arveson space, Quaternionic Hilbert spaces, Reproducing kernel Hilbert spaces, Tensor products, Von Neumann inequality, Primary 47A60, Secondary 46A32, 47B32, 47S10