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• W2952901940 abstract "This paper is devoted to strict $K$- monotonicity and $K$-order continuity in symmetric spaces. Using the local approach to the geometric structure in a symmetric space $E$ we investigate a connection between strict $K$-monotonicity and global convergence in measure of a sequence of the maximal functions. Next, we solve an essential problem whether an existence of a point of $K$-order continuity in a symmetric space $E$ on $[0,infty)$ implies that the embedding $Ehookrightarrow{L^1}[0,infty)$ does not hold. We finish this article with a complete characterization of $K$-order continuity in a symmetric space $E$ that is written using a notion of order continuity under some assumptions on the fundamental function of $E$." @default.
• W2952901940 created "2019-06-27" @default.
• W2952901940 creator A5075578327 @default.
• W2952901940 date "2017-05-17" @default.
• W2952901940 modified "2023-09-27" @default.
• W2952901940 title "Strict $K$-monotonicity and $K$-order continuity in symmetric spaces" @default.
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• W2952901940 hasPublicationYear "2017" @default.
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