Operators similar to unitary or selfadjoint ones

Johannes Van Casteren

Type: Article

Publication Date: 1983-01-01

Citations: 89

DOI: https://doi.org/10.2140/pjm.1983.104.241

Abstract

Let T be a bounded linear operator on a Hilbert space.General necessary and sufficient conditions are given in order that VTV~λ is unitary for some bounded linear operator V with bounded everywhere defined inverse.Similarly let B be a closed and densely defined linear operator in a Hilbert space.General necessary and sufficient conditions are given in order that VBV~X is self adjoint for some bounded linear operator V with bounded everywhere defined inverse.

Locations

Pacific Journal of Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF

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