Catalysis in the trace class and weak trace class ideals

DOI10.1090/proc/12889zbMath1338.47016arXiv1506.05974OpenAlexW2963102534MaRDI QIDQ2796715

Guillaume Aubrun, Dmitriy Zanin, Pheodor A. Sukochev

Publication date: 29 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05974

zbMATH Keywords

Dixmier tracestrace class operator inequalities

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator ideals (47L20) Tensor products of linear operators (47A80)

Cites Work

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• Singular traces. Theory and applications
• Catalytic majorization and \(\ell_p\) norms
• The Kadec-Klee property in symmetric spaces of measurable operators
• Commutator structure of operator ideals
• Completeness of quasi-normed symmetric operator spaces
• Dixmier measurability in Marcinkiewicz spaces and applications
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• Symmetric norms and spaces of operators
• Entanglement-Assisted Local Manipulation of Pure Quantum States
• Catalytic transformations for bipartite pure states
• Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions

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