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• W2890862334 endingPage "124783" @default.
• W2890862334 startingPage "124783" @default.
• W2890862334 abstract "A representation theorem for non-semibounded Hermitian quadratic forms in terms of a (non-semibounded) self-adjoint operator is proven. The main assumptions are closability of the Hermitian quadratic form, the direct integral structure of the underlying Hilbert space and orthogonal additivity. We apply this result to several examples, including the position operator in quantum mechanics and quadratic forms invariant under a unitary representation of a separable locally compact group. The case of invariance under a compact group is also discussed in detail." @default.
• W2890862334 created "2018-09-27" @default.
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• W2890862334 date "2021-03-01" @default.
• W2890862334 modified "2023-10-14" @default.
• W2890862334 title "Representation of non-semibounded quadratic forms and orthogonal additivity" @default.
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• W2890862334 doi "https://doi.org/10.1016/j.jmaa.2020.124783" @default.
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