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Selfadjoint algebras of unbounded operators. II

Selfadjoint algebras of unbounded operators. II

Unbounded selfadjoint representations of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="Superscript asterisk"> <mml:semantics> <mml:msup> <mml:mi /> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding="application/x-tex">^\ast</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras are studied. It is shown that a selfadjoint representation of the enveloping algebra of a Lie algebra can be exponentiated to give a strongly continuous unitary representation …