Quaternionic Cayley transform

Authors
Vasilescu, FH
Citation
Fh. Vasilescu, Quaternionic Cayley transform, J FUNCT ANA, 164(1), 1999, pp. 134-162
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
164
Issue
1
Year of publication
1999
Pages
134 - 162
Database
ISI
SICI code
0022-1236(19990510)164:1<134:QCT>2.0.ZU;2-S
Abstract
In this paper we define a quaternionic Cayley transform for some linear ope rators acting in H + H, where H is a Hilbert space, which permits the joint investigation of the pairs of symmetric operators, in particular, this lea ds to new criteria for the existence of commuting self-adjoint extensions o f certain pairs of symmetric operators. (C) 1999 Academic Press.