Abstract
Let $\mathcal{H}$ be a Hilbert space and $K(\mathcal{H})$ be the $C^*$-algebra of compact operators on $\mathcal{H}$. In this paper, we present some characterizations of the norm-parallelism for elements of a Hilbert $K(\mathcal{H})$-module $\mathcal{E}$ by employing the minimal projections on $\mathcal{H}$. In addition, we give some equivalence assertions about the norm-parallelism of compact operators on a Hilbert $C^*$-module.
Citation
M. Mohammadi Gohari. M. Amyari. "Parallelism in Hilbert $K(\mathcal{H})$-modules." Tbilisi Math. J. 12 (2) 67 - 75, April 2019. https://doi.org/10.32513/tbilisi/1561082568
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