Orthogonally Additive Polynomials on Spaces of Continuous Functions

نویسندگان

  • DAVID PÉREZ-GARCÍA
  • IGNACIO VILLANUEVA
چکیده

We show that, for every orthogonally additive homogeneous polynomial P on a space of continuous functions C(K) with values in a Banach space Y , there exists a linear operator S : C(K) −→ Y such that P (f) = S(f). This is the C(K) version of a related result of Sundaresam for polynomials on Lp spaces.

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تاریخ انتشار 2004