Non-linear traces on the algebra of compact operators and majorization
نویسندگان
چکیده
We study non-linear traces of the Choquet type and Sugeno on algebra compact operators. They have certain partial additivities. show that these additivities characterize both respectively. There exists a close relation between majorization theory. trace class operators for type. More generally we discuss Schatten–von Neumann p-class determine when they form Banach spaces. This is an attempt at non-commutative integration theory also consider triangle inequality
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2023
ISSN: ['0019-3577', '1872-6100']
DOI: https://doi.org/10.1016/j.indag.2023.02.002