Defines a new norm in C-algebras, characterizing orthogonality and parallelism of operators, indicating new mathematical insights.
In this paper, a new norm ???? is defined on a C*-algebra A. Some basic results of ???? are given. We also give characterizations of parallelism and orthogonality of operators with respect to ????. Finally, we obtain some upper bounds of ????.
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Wang et al. (2025) studied this question.
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