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- W2078397261 abstract "In 2006, C. L. Jiang and Z. Y. Wang posed an open problem: If <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper T> <mml:semantics> <mml:mi>T</mml:mi> <mml:annotation encoding=application/x-tex>T</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a strongly irreducible operator, is <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=script upper A prime left-parenthesis upper T right-parenthesis slash rad script upper A prime left-parenthesis upper T right-parenthesis> <mml:semantics> <mml:mrow> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>A</mml:mi> </mml:mrow> </mml:mrow> <mml:mo>′</mml:mo> </mml:msup> <mml:mo stretchy=false>(</mml:mo> <mml:mi>T</mml:mi> <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:mtext>rad</mml:mtext> </mml:mrow> <mml:mspace width=thinmathspace /> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>A</mml:mi> </mml:mrow> </mml:mrow> <mml:mo>′</mml:mo> </mml:msup> <mml:mo stretchy=false>(</mml:mo> <mml:mi>T</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>{mathcal {A}}’(T)/textrm {rad},{mathcal A}’(T)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> commutative? They conjectured that the answer is positive. In this paper, to negatively answer their problem, a counterexample is given." @default.
- W2078397261 created "2016-06-24" @default.
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- W2078397261 date "2011-05-18" @default.
- W2078397261 modified "2023-09-29" @default.
- W2078397261 title "On commutativity of the commutant of strongly irreducible operator" @default.
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- W2078397261 doi "https://doi.org/10.1090/s0002-9939-2011-11118-3" @default.
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