Construction of finitely closed and non-closed sets in inductive limits
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
closed and non-closed sets, inductive limits
Abstract
A new method of construction of final closed and not closed sets in inductive limits, which based on famous Riesz Lemma, is suggested.
References
[1] Maslyuchenko V.K. Linear continuous operators. — Chernivtsi: Ruta, 2002. - 72 p.
[2] Dieudonné J., Schwartz L. La dualité dans les espaces (F) et (LF) // Ann.Inst. Fourier. - 1949. - 1. - P.61-101.
[3] Smolyanov O.G. Almost closed subspaces of strict inductive limits of sequences of Frechet spaces // Mat. collection. - 1969. - 80, № 4. - P.513-520.
[4] Kolmogorov A.N., Fomin S.V. Elements of the theory of functions and functional analysis. - M.: Nauka, 1968. - 496 p.
[5] Makarov B.M. On inductive limits of normed spaces // DAN SSSR. - 1958. - № 6. - P.1092-1094.
Cite
- ACS Style
- Gaidukevich , O.I.; Maslyuchenko, V.K. Construction of finitely closed and non-closed sets in inductive limits. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Gaidukevich OI, Maslyuchenko VK. Construction of finitely closed and non-closed sets in inductive limits. Bukovinian Mathematical Journal. 2018; 1(269).
- Chicago/Turabian Style
- Oksana Ivanivna Gaidukevich , Volodymyr Kyrylovych Maslyuchenko. 2018. "Construction of finitely closed and non-closed sets in inductive limits". Bukovinian Mathematical Journal. 1 no. 269.
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