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math.FA2026
A New Characterization of the Domains of Integral Powers of the Self-Adjoint Friedrichs-Legendre Operator
Lance Littlejohn, Richard Wellman, Quinn Wicks
Let be the self-adjoint operator in , generated by the second-order classical Legendre differential equation% \[ \ell\lbrack y](t)=-\left( (1-t^{2})y^{\prime}(t)\r…
math.FA2021
The Krein-von Neumann extension revisited
Guglielmo Fucci, Fritz Gesztesy, Klaus Kirsten +3
We revisit the Krein-von Neumann extension in the case where the underlying symmetric operator is strictly positive and apply this to derive the explicit form of the Krein-von Neum…
math.FA2017
Self-Adjoint Operators in Extended Hilbert Spaces : An Application of the General GKN-EM Theorem
Lance Littlejohn, Richard Wellman
We construct self-adjoint operators in the direct sum of a complex Hilbert space and a finite dimensional complex inner product space . The operator theory developed in this…