Isomorphic copies of ℓ1 for m‐homogeneous non‐analytic Bohnenblust–Hille polynomials

We employ a classical result by Toeplitz (1913) and the seminal work by Bohnenblust and Hille on Dirichlet series (1931) to show that the set of continuous m‐homogeneous non‐analytic polynomials on c ₀ contains an isomorphic copy of ?₁. Moreover, we can have this copy of ?₁ in such a way that every non‐zero element of it fails to be analytic at precisely the same point.