Hahn-Banach extension theorem for interval-valued functions and existence of quasilinear functionals
| Autor: | Halise Levent, Yılmaz YILMAZ |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
quasilinear operators lcsh:T57-57.97 lcsh:Mathematics Mathematics::Analysis of PDEs Hahn–Banach theorem 010103 numerical & computational mathematics Extension (predicate logic) Hahn-Banach theorem lcsh:QA1-939 01 natural sciences Interval valued 010101 applied mathematics lcsh:Applied mathematics. Quantitative methods 0101 mathematics Quasilinear spaces interval-valued functions Mathematics |
| Zdroj: | New Trends in Mathematical Sciences, Vol 6, Iss 2, Pp 19-28 (2018) |
| ISSN: | 2147-5520 |
| Popis: | In this paper we focus on developing bounded quasilinear interval-valued functions. We deal with the Hahn-Banach extension theorem for interval-valued functions. Finally, we show that there are enough bounded quasilinear functionals on the space of interval-valued functions to distinguish between its the regular elements. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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