P. M. Shteyner, “Linear operators preserving and converting majorizations of <nobr>$(0, 1)$</nobr>-vectors”, Zap. Nauchn. Sem. POMI, 2022, Volume 514,Pages <nobr>204

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Linear operators preserving and converting majorizations of $(0, 1)$-vectors

P. M. Shteyner^ab

^a Bar-Ilan University, Ramat Gan
^b Moscow Center for Fundamental and Applied Mathematics

Abstract: The paper investigates and characterizes linear operators preserving weak majorization of $(0, 1)$-vectors and linear operators converting vector majorization of $(0, 1)$-vectors to weak majorization.

Key words and phrases: weak majorization, vector majorization, $(0, 1)$-vectors, linear preservers.

UDC: 512.643

Received: 11.10.2022