Multi-generalized 2-normed space
| Autor: | Marzieh Moradian Khibary, Ahmad Modabber, Mahnaz Khanehgir, Firoozeh Hasanvand |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Filomat. 31:841-851 |
| ISSN: | 2406-0933 0354-5180 |
| DOI: | 10.2298/fil1703841k |
| Popis: | In this paper, we introduce the concepts of multi-generalized 2-normed space and dual multigeneralized 2-normed space and we then investigate some results related to them. We also prove that, if (E,||.,.||) is a generalized 2-normed space, {||.,.||k}k?N is a sequence of generalized 2-norms on Ek (k ? N) such that for each x,y ? E, ||x,y||1 = ||x,y|| and for each k ? N axioms (MG1), (MG2) and (MG4)((DG4)) of (dual) multi-generalized 2-normed space are true, then {(Ek,||.,. ||k), k ? N} is a (dual) multi-generalized 2-normed space. Finally we deal with an application of a dual multi-generalized 2-normed space defined on a proper commutative H*-algebra. |
| Databáze: | OpenAIRE |
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