On the type constants with respect to systems of characters of a compact abelian group
Aicke Hinrichs (1996)
Studia Mathematica
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We prove that there exists an absolute constant c such that for any positive integer n and any system Φ of characters of a compact abelian group, , where T is an arbitrary operator between Banach spaces, is the type norm of T with respect to Φ and is the usual Rademacher type-2 norm computed with n vectors. For the system of the first Walsh functions this is even true with c=1. This result combined with known properties of such type norms provides easy access to quantitative...