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Quaternionic Cayley Transform

✍ Scribed by Florian-Horia Vasilescu

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 214 KB
Volume: 164
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3389

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✦ Synopsis

In this paper we define a quaternionic Cayley transform for some linear operators acting in H Ä H, where H is a Hilbert space, which permits the joint investigation of the pairs of symmetric operators. In particular, this leads to new criteria for the existence of commuting self-adjoint extensions of certain pairs of symmetric operators.

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