A ๐ฃ-integral representation for linear operators on a space of continuous vector-valued functions
A ๐ฃ-integral representation for linear operators on a space of continuous vector-valued functions
In this note an analytic representation is given for continuous linear operators from <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C left-parenthesis upper X right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>C</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>X</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">C(X)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> into a linear normed space <italic>Y</italic> where <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C โฆ