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- W99726812 abstract "If <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper E> <mml:semantics> <mml:mi>E</mml:mi> <mml:annotation encoding=application/x-tex>E</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper F> <mml:semantics> <mml:mi>F</mml:mi> <mml:annotation encoding=application/x-tex>F</mml:annotation> </mml:semantics> </mml:math> </inline-formula> are Banach lattices such that <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper E> <mml:semantics> <mml:mi>E</mml:mi> <mml:annotation encoding=application/x-tex>E</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is separable and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper F> <mml:semantics> <mml:mi>F</mml:mi> <mml:annotation encoding=application/x-tex>F</mml:annotation> </mml:semantics> </mml:math> </inline-formula> has the countable interpolation property, then the space of all continuous regular operators <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=script upper L> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>L</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>mathcal {L}</mml:annotation> </mml:semantics> </mml:math> </inline-formula><inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=Superscript r Baseline left-parenthesis upper E comma upper F right-parenthesis> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi /> <mml:mi>r</mml:mi> </mml:msup> <mml:mo stretchy=false>(</mml:mo> <mml:mi>E</mml:mi> <mml:mo>,</mml:mo> <mml:mi>F</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>^r(E,F)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> has the Riesz decomposition property. This result is a positive answer to a conjecture posed by A. W. Wickstead." @default.
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- W99726812 date "2000-09-20" @default.
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- W99726812 title "The Riesz decomposition property for the space of regular operators" @default.
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- W99726812 doi "https://doi.org/10.1090/s0002-9939-00-05592-1" @default.
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