Journal of Operator Theory
Volume 56, Issue 2, Fall 2006 pp. 317-342.
Multidimensional Cayley transforms and tuples of unbounded operatorsAuthors: Hakan Samuelsson
Author institution: Department of Mathematics, University of Wuppertal, Wuppertal, 421 19, Germany
Summary: We generalize the Cayley transform to tuples of unbounded operators. To achieve this we introduce intrinsically defined objects, with spectrum in projective space, which admit an analytic functional calculus. We also provide an integral representation for this functional calculus.
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