On non-triviality and embedding of spaces of type $W$
1 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
non-triviality, embedding of spaces of type $W$
Abstract
Necessary and sucient conditions of non-triviality of a space $M^Ω_M$ are presented. The equation $M^Ω_M = W_M ∩ W^Ω$ has been proved.
References
[1] Gelfand I.M., Shilov G.E. Some questions of the theory of differential equations. - M.: Fizmatgiz, 1958. - 274 p.
[2] Gotynchan T.I., Atamanyuk R.M. Different forms of definition of spaces of type $W$ // Nauk. visnyk Chernivtsi un-tu: 3b. nauk. pr. Vyp. 111. Mathematics. - Chernivtsi: Ruta, 2001. - P.21-26.
[3] Gelfand I.M., Shilov G.E. Spaces of basic and generalized functions. - M.: Fizmatgiz, 1958. - 308 p.
Cite
- ACS Style
- Hotynchan, T.I. On non-triviality and embedding of spaces of type $W$. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Hotynchan TI. On non-triviality and embedding of spaces of type $W$. Bukovinian Mathematical Journal. 2018; 1(160).
- Chicago/Turabian Style
- Tetyana Ivanivna Hotynchan. 2018. "On non-triviality and embedding of spaces of type $W$". Bukovinian Mathematical Journal. 1 no. 160.
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