mathematics, in the areas of topology and functional analysis, the Anderson–Kadec theorem states that any two infinite-dimensional, separable Banach spaces...

that the homeomorphism described in the Anderson–Kadec theorem is not necessarily linear. Eidelheit theorem—A Fréchet space is either isomorphic to a...

Anderson–Kadec theorem (1965–66) proves that any two infinite-dimensional separable Banach spaces are homeomorphic as topological spaces. Kadec's theorem...

homeomorphic to a vector subspace of a product of Banach spaces. The Anderson–Kadec theorem states that every infinite–dimensional separable Fréchet space is...

abelian Banach algebra means a commutative Banach algebra. Anderson–Kadec The Anderson–Kadec theorem says a separable infinite-dimensional Fréchet space is...