Geodesic
On linear continuous operators on $C_p$-spaces
Dalʹnevostočnyj matematičeskij žurnal, Tome 21 (2021) no. 1, pp. 45-50 
A. P. Devyatkov; S. D. Shalaginov. On linear continuous operators on $C_p$-spaces. Dalʹnevostočnyj matematičeskij žurnal, Tome 21 (2021) no. 1, pp. 45-50. http://geodesic.mathdoc.fr/item/DVMG_2021_21_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper describes the structure of a linear continuous operator on the space of continuous functions in the topology of pointwise convergence. The corresponding theorem is a generalization of A. V. Arkhangel'skii's theorem on the general form of a continuous linear functional on such spaces.

[1] V. Tkachuk, A Cp-theory problem book, v. I–IV, Problem Books in Mathematics, Springer, 2011–2015 | DOI | MR | Zbl

[2] A. V. Arkhangelskii, Topologicheskie prostranstva funktsii, Izd-vo MGU, M., 1989

[3] Kh. Shefer, Topologicheskie vektornye prostranstva, Mir, M., 1971

[4] C. C. Kutateladze, Osnovy funktsionalnogo analiza, Izdatelstvo Instituta matematiki, Novosibirsk, 2000 | MR