The operator $(\textrm {sgn} x)d^ 2/dx^ 2$ is similar to a selfadjoint operator in $L^ 2(\textbf {R})$
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- by Branko Ćurgus and Branko Najman PDF
- Proc. Amer. Math. Soc. 123 (1995), 1125-1128 Request permission
Abstract:
Krein space operator-theoretic methods are used to prove that the operator $(\operatorname {sgn} x)\frac {{{d^2}}}{{d{x^2}}}$ is similar to a selfadjoint operator in the Hilbert space ${L^2}({\mathbf {R}})$.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1125-1128
- MSC: Primary 47B25; Secondary 34L05, 47B50, 47E05
- DOI: https://doi.org/10.1090/S0002-9939-1995-1223513-X
- MathSciNet review: 1223513