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On the norms of quaternionic extensions of real and complex linear mappings

✍ Scribed by Daniel Alpay; M. Elena Luna-Elizarrarás; Michael Shapiro

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
271 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We study the connections between the norms of bounded operators on real and complex normed spaces, and with range in quaternionic spaces, and of their quaternionic extensions. We study some aspects of the relations between the quaternionization and the complexification of an inner product real space. The problems that arise when k‐linear mappings are defined for the quaternionic case, are considered too. Copyright © 2006 John Wiley & Sons, Ltd.

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