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On linear continuous operators on $C_p$-spaces
A. P. Devyatkov, S. D. Shalaginov Tyumen State University
Abstract:
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.
Key words:
space of continuous functions in the topology of pointwise convergence, topological vector space, locally bounded space, continuous linear operator.
Received: 02.03.2021
Citation:
A. P. Devyatkov, S. D. Shalaginov, “On linear continuous operators on $C_p$-spaces”, Dal'nevost. Mat. Zh., 21:1 (2021), 45–50
Linking options:
https://www.mathnet.ru/eng/dvmg445 https://www.mathnet.ru/eng/dvmg/v21/i1/p45
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Abstract page: | 125 | Full-text PDF : | 70 | References: | 29 |
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