This article is cited in 1 paper

On the relationship between embeddings and coverings of cones of functions

E. G. Bakhtigareeva^a, M. L. Goldman<sup>b

a</sup> Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
^b Peoples' Friendship University of Russia, Moscow, Russia

Abstract: The connection of pointwise and integral coverings of cones of nonnegative measurable functions with estimates for majorants on these cones and with their embeddings in ideal spaces is investigated.
Bibliography: 17 titles.

Keywords: cones of measurable functions, pointwise and integral majorants, coverings of cones, embeddings, ideal spaces.

MSC: Primary 46E30; Secondary 42B35

Received: 17.09.2024

DOI: 10.4213/sm10199

 English version: Sbornik: Mathematics, 2025, 216:3, 292–313

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