A remark on supra-additive and supra-multiplicative operators on $C(X)$

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A Remark on Supra-additive and Supra-multiplicative Operators on C(x)

M.Radulescu proved the following result: Let X be a compact Hausdorff topological space and π : C(X)→ C(X) a supra-additive and supra-multiplicative operator. Then π is linear and multiplicative. We generalize this result to arbitrary topological spaces.

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ژورنال

عنوان ژورنال: Mathematica Bohemica

سال: 2007

ISSN: 0862-7959,2464-7136

DOI: 10.21136/mb.2007.133995