Riesz seminorms with Fatou properties
Riesz seminorms with Fatou properties
A seminormed Riesz space <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Subscript rho"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>ρ<!-- ρ --></mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{L_\rho }</mml:annotation> </mml:semantics> </mml:math> </inline-formula> satisfies the <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="sigma"> <mml:semantics> <mml:mi>σ<!-- σ --></mml:mi> <mml:annotation encoding="application/x-tex">\sigma</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-Fatou property (resp. the Fatou property) if …