Ideals of finite codimension in ๐ถ[0,1] and ๐ฟยน(๐
)
Ideals of finite codimension in ๐ถ[0,1] and ๐ฟยน(๐
)
We characterize the ideals of finite codimension in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C left-bracket 0 comma 1 right-bracket"> <mml:semantics> <mml:mrow> <mml:mi>C</mml:mi> <mml:mo stretchy="false">[</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="false">]</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">C[0,1]</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 L Superscript 1 Baseline left-parenthesis upper R right-parenthesis"> <mml:semantics> โฆ