Abstract
In this paper, we get analogues of Clarkson–McCarthy inequalities for n-tuples of operators from Schatten ideals \(S^{p}\) when parameters taking values in different regions. Using them, we obtain some generalized Clarkson–McCarthy inequalities for \(l_{q}(S^{p})\) spaces of operators. Moreover, we get some norm inequalities for partitioned operators and for Cartesian decomposition of operators.
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Funding
This research is supported by the National Natural Science Foundation of China (11601339, 11701154), the teacher education curriculum reform project, Henan Province (2021-JSJYYB-019), the Natural Science Foundation of the Department of Education, Henan Province (19A110020, 20A110020) and higher education teaching reform and practice project (postgraduate education) of Henan Normal University (YJS2019JG01).
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Gao, F., Li, M. Clarkson–McCarthy Inequalities for \(l_{q}(S^{p})\) Spaces of Operators. Results Math 76, 194 (2021). https://doi.org/10.1007/s00025-021-01504-4
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DOI: https://doi.org/10.1007/s00025-021-01504-4