On commutants of reductive algebras
On commutants of reductive algebras
It is proved, for certain operators <italic>T</italic>, if <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper A"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi class="MJX-tex-caligraphic" mathvariant="script">A</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathcal {A}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a reductive algebra and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper T element-of script upper A prime"> <mml:semantics> <mml:mrow> <mml:mi>T</mml:mi> <mml:mo>∈</mml:mo> <mml:msup> <mml:mrow …