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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2016 Volume 100, Issue 1, Pages 78–93 (Mi mzm11132)

This article is cited in 2 papers

Domination Problem in Banach Lattices

A. G. Kusraevab

a North Ossetian State University after Kosta Levanovich Khetagurov, Vladikavkaz
b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences

Abstract: The objective of this paper is to present a survey of the main results concerning the domination problem for operators in Banach lattices, to lay down a general approach to the study of the problem, and to indicate several directions for further investigations.

Keywords: Banach lattice, operator, domination, projection.

UDC: 517.98

Received: 02.09.2015
Revised: 24.02.2016

DOI: 10.4213/mzm11132


 English version:
Mathematical Notes, 2016, 100:1, 66–79

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© Steklov Math. Inst. of RAS, 2025