Normal extensions of subnormal linear relations via quaternionic Cayley transforms |
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| Authors: | Adrian Sandovici Florian-Horia Vasilescu |
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| Institution: | 1. Department of Sciences, University “Al. I. Cuza”, Lasc?r Catargi 54, 700107, Ia?i, Romania
2. Department of Mathematics, University of Lille 1, 59655, Villeneuve d’Ascq cedex, France
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| Abstract: | A quaternionic Cayley transform for linear relations is introduced and some of its properties are exhibited. We emphasize the role played by the linear relations whose quaternionic Cayley transforms are unitary operators, which happen to be normal relations, and investigate the class of those linear relations which extend to such normal relations. |
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