Geodesic
A remark on supra-additive and supra-multiplicative operators on $C(X)$
Mathematica Bohemica, Tome 132 (2007) no. 1, pp. 55-58

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MR Zbl
M. Radulescu proved the following result: Let $X$ be a compact Hausdorff topological space and ${\pi }\: C(X)\rightarrow C(X)$ a supra-additive and supra-multiplicative operator. Then ${\pi }$ is linear and multiplicative. We generalize this result to arbitrary topological spaces.
M. Radulescu proved the following result: Let $X$ be a compact Hausdorff topological space and ${\pi }\: C(X)\rightarrow C(X)$ a supra-additive and supra-multiplicative operator. Then ${\pi }$ is linear and multiplicative. We generalize this result to arbitrary topological spaces.
DOI : 10.21136/MB.2007.133995
Classification : 46E25, 46E35, 46J10, 47B38, 54C35
Keywords: $C(X)$-space; supra-additive; supra-multiplicative operator; realcompact space; realcompact 
Ercan, Z. A remark on supra-additive and supra-multiplicative operators on $C(X)$. Mathematica Bohemica, Tome 132 (2007) no. 1, pp. 55-58. doi: 10.21136/MB.2007.133995
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[4] M. Radulescu: On a supra-additive and supra-multiplicative operator of $C(X)$. Bull. Math. Soc. Sci. Math. Répub. Soc. Roum., Nouv. Sér. 24 (1980), 303–305. | MR | Zbl

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