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Symmetric square roots of the infinite identity matrix

Published online by Cambridge University Press:  09 April 2009

C. E. M. Pearce  and
R. B. Potts
C. E. M. Pearce
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, 5001, Australia.
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Abstract

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Some non-trivial real, symmetric square roots of the infinite identity matrix are exhibited. These may be found either from the use of involutory integral transforms and a set of real orthonormal functions or by an algebraic factorisation procedure. The two approaches are shown to be equivalent.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 22 , Issue 3 , November 1976 , pp. 343 - 361
Copyright
Copyright © Australian Mathematical Society 1976

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