Decomposable symmetric mappings between infinite-dimensional spaces
Decomposable symmetric mappings between infinite-dimensional spaces
Decomposable mappings from the space of symmetric k-fold tensors over E, $\bigotimes_{s,k}E$, to the space of k-fold tensors over F, $\bigotimes_{s,k}F$, are those linear operators which map nonzero decomposable elements to nonzero decomposable elements. We prove that any decomposable mapping is induced by an injective linear operator between the spaces …