Compact and weakly compact homomorphisms between algebras of differentiable functions
Compact and weakly compact homomorphisms between algebras of differentiable functions
It is proved that the weakly compact continuous homomorphisms between algebras of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="k"> <mml:semantics> <mml:mi>k</mml:mi> <mml:annotation encoding="application/x-tex">k</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-times continuously differentiable functions on Banach spaces are induced by constant mappings.