On linear continuous operators on $C_p$-spaces
A. P. Devyatkov, S. D. Shalaginov
Tyumen State University
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.
space of continuous functions in the topology of pointwise convergence, topological vector space, locally bounded space, continuous linear operator.
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MSC: Primary 54C35; Secondary 46E10
A. P. Devyatkov, S. D. Shalaginov, “On linear continuous operators on $C_p$-spaces”, Dal'nevost. Mat. Zh., 21:1 (2021), 45–50
Citation in format AMSBIB
\by A.~P.~Devyatkov, S.~D.~Shalaginov
\paper On linear continuous operators on $C_p$-spaces
\jour Dal'nevost. Mat. Zh.
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