A survey on the interplay between arithmetic mean ideals, traces, lattices of operator ideals, and an infinite Schur-Horn majorization theorem

zbMath1199.47166arXiv0707.3271MaRDI QIDQ3651837

Victor Kaftal, Gary Weiss

Publication date: 16 December 2009

Full work available at URL: https://arxiv.org/abs/0707.3271

zbMATH Keywords

cancellationcommutator idealslatticestracesoperator idealsmajorisationregular sequencesSchur-Horn theoremarithmetic meanscommutator spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Commutators, derivations, elementary operators, etc. (47B47) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Banach sequence spaces (46B45) Operator ideals (47L20) Stochastic matrices (15B51)

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