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- W2947989901 abstract "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." @default.
- W2947989901 created "2019-06-07" @default.
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- W2947989901 date "2019-01-01" @default.
- W2947989901 modified "2023-09-26" @default.
- W2947989901 title "$mathcal{A}$-valued norm parallelism in Hilbert $mathcal{A}$-modules" @default.
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- W2947989901 doi "https://doi.org/10.3934/math.2019.3.527" @default.
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