For a nonzero real Banach space with the ordinary approximation property, K-convexity holds if and only if both the space and its dual have finite Rademacher cotype, with possibly different exponents.
For a nonzero real Banach space with the ordinary approximation property, K-convexity holds if and only if both the space and its dual have finite Rademacher cotype, with possibly different exponents.
For a nonzero real Banach space with the ordinary approximation property, K-convexity holds if and only if both the space and its dual have finite Rademacher cotype, with possibly different exponents.
If correct, resolves the cotype–cotype conjecture for the broad class of Banach spaces with the approximation property.
Do finite cotype of a Banach space and its dual characterize K-convexity under approximation?
Publication dates and editorial changes.
OpenAI reports cotype–cotype equivalence under approximation
Allow optional Google Analytics to help improve AIProofWatch? Privacy details.
