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- W3099267461 abstract "In this paper we provide a quantitative comparison of two obstructions for a given symmetric operator S with dense domain in Hilbert space ℋ to be self-adjoint. The first one is the pair of deficiency spaces of von Neumann, and the second one is of more recent vintage; Let P be a projection in ℋ. We say that it is smooth relative to S if its range is contained in the domain of S. We say that smooth projections {Pi}i=1∞ diagonalize S if (a) (I−Pi)SPi=0 for all i, and (b) supi Pi=I. If such projections exist, then S has a self-adjoint closure (i.e., S̄ has a spectral resolution), and so our second obstruction to self-adjointness is defined from smooth projections Pi with (I−Pi)SPi≠0. We prove results both in the case of a single operator S and a system of operators." @default.
- W3099267461 created "2020-11-23" @default.
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- W3099267461 date "2000-04-01" @default.
- W3099267461 modified "2023-10-16" @default.
- W3099267461 title "Off-diagonal terms in symmetric operators" @default.
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- W3099267461 doi "https://doi.org/10.1063/1.533242" @default.
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