Abstract
For a positive element A of a \(C^*\)-algebra \(\mathfrak {A}\), let \({\Vert X\Vert }_{A}\) denote the A-operator semi-norm of \(X\in \mathfrak {A}\). In this paper, we aim to introduce and study the notion of A-spectrum for X, such that \({\Vert X\Vert }_{A}<\infty \). In particular, when A is well supported, we establish an A-spectral permanence property for \(C^*\)-algebras.
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Mabrouk, M., Zamani, A. A-Spectral Permanence Property for \(C^*\)-Algebras. Mediterr. J. Math. 21, 26 (2024). https://doi.org/10.1007/s00009-023-02567-z
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DOI: https://doi.org/10.1007/s00009-023-02567-z