Compact and weakly compact composition operators on spaces of vector valued continuous functions
Compact and weakly compact composition operators on spaces of vector valued continuous functions
We characterize the compact and weakly compact weighted composition operators on the Banach space <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Subscript p Baseline left-parenthesis upper T comma upper X right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>C</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>T</mml:mi> <mml:mo>,</mml:mo> <mml:mi>X</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">{C_p}(T,X)</mml:annotation> </mml:semantics> …