Majorization and arithmetic mean ideals
Victor KaftalG. Weiss
15A5147L20majorization of sequencesoperator idealsarithmetic mean
Following \emph{An infinite dimensional Schur-Horn theorem and majorization theory} [V. Kaftal and G. Weiss, \textit{An infinite dimensional Schur-Horn theorem and majorization theory}, J. Funct. Anal. \textbf{259} (2010), no.12, 3115--3162], this paper further studies majorization for infinite sequences. It extends to the infinite case classical results on "intermediate sequences" for finite sequence majorization. These and other infinite majorization properties are then linked to notions of infinite convexity and invariance properties under various classes of substochastic matrices to characterize arithmetic mean closed operator ideals and arithmetic mean at infinity closed operator ideals.
Indiana University Mathematics Journal
2011
text
pdf
10.1512/iumj.2011.60.4603
10.1512/iumj.2011.60.4603
en
Indiana Univ. Math. J. 60 (2011) 1393 - 1424
state-of-the-art mathematics
http://iumj.org/access/