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Characterizability of pairs of complex normed spaces
R. B. Feizullaev
Abstract:
It is shown that the algebraic and topological structures of an arbitrary pair of complex normed spaces of dimension greater than 1 are determined by the topological ternary semigroup of continuous linear mappings in the class of complex normed spaces. It is established that the spaces under consideration are also reproduced by the topological ternary semigroup of one-dimensional continuous linear mappings.
Bibliography: 5 titles.
Received: 04.09.1980
Citation:
R. B. Feizullaev, “Characterizability of pairs of complex normed spaces”, Math. USSR-Sb., 43:3 (1982), 395–402
Linking options:
https://www.mathnet.ru/eng/sm2405https://doi.org/10.1070/SM1982v043n03ABEH002452 https://www.mathnet.ru/eng/sm/v157/i3/p445
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