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- W2009588267 abstract "We give an example of a formally normal operator <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper N> <mml:semantics> <mml:mi>N</mml:mi> <mml:annotation encoding=application/x-tex>N</mml:annotation> </mml:semantics> </mml:math> </inline-formula> satisfying <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=dimension script upper D left-parenthesis upper N Superscript asterisk Baseline right-parenthesis slash script upper D left-parenthesis upper N right-parenthesis equals 1> <mml:semantics> <mml:mrow> <mml:mi>dim</mml:mi> <mml:mo><!-- --></mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>D</mml:mi> </mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mi>N</mml:mi> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> </mml:mrow> <mml:mo stretchy=false>)</mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>/</mml:mo> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>D</mml:mi> </mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mi>N</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>dim mathcal {D}({N^ * })/mathcal {D}(N) = 1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> which has no normal extension in any larger Hilbert space." @default.
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- W2009588267 date "1985-01-01" @default.
- W2009588267 modified "2023-10-05" @default.
- W2009588267 title "A formally normal operator having no normal extension" @default.
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- W2009588267 doi "https://doi.org/10.1090/s0002-9939-1985-0806097-0" @default.
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