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On semi inner product spaces over quaternions

Published online by Cambridge University Press:  09 April 2009

Dilip Kumar Sen
Dilip Kumar Sen
Affiliation:
Department of Pure Mathematics University of Calcutta35, Ballygunge Circular Road Calcutta - 700019, India
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Abstract

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In this note semi inner product spaces over quaternions are studied. We investigate the properties of complex strict convexity over C, left and right Q-complex strict convexity over Q, and left and right quaternion strict convexity. Finally we discuss the permanence properties with respect to formation of products.

Keywords

left and right semi inner productsQ-complexQ-strict convexity.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 2 , October 1984 , pp. 190 - 204
Copyright
Copyright © Australian Mathematical Society 1984

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