| Autor: |
Ali Khalili, Maryam Amyari |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
AIMS Mathematics, Vol 4, Iss 3, Pp 527-533 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2019.3.527/fulltext.html |
| Popis: |
We define the concept of $\mathcal{A}$-valued norm parallelism in a Hilbert $\mathcal{A}$-module, and then we investigate some properties of this notion and present some characterizations of $\mathcal{A}$-valued norm parallelism in a Hilbert $\mathcal{A}$-module. We also show that if $X$ and $Y$ are two inner product $\mathcal{A}$-modules and $T:X \to Y $ is a linear map such that $|Tx|=|x|$, then $T$ preserves $\mathcal{A}$-valued norm parallelism in both directions. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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