The injective hull of ideals of weighted holomorphic mappings

被引：0
|
作者：
Jimenez-Vargas, Antonio [1 ]
Isabel Ramirez, Maria [1 ]
机构：
[1] Univ Almeria, Dept Matemat, Ctra Sacramento S-N, Almeria 04120, Spain
来源：
CONSTRUCTIVE MATHEMATICAL ANALYSIS | 2025年 / 8卷 / 01期
关键词：
Weighted holomorphic mapping; injective hull; domination theorem; operator ideal; Ehrling inequality; COMPACT COMPOSITION OPERATORS; P-NUCLEAR OPERATORS; BANACH-SPACES; SURJECTIVE HULLS;
D O I：
10.33205/cma.1621697
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the injectivity of normed ideals of weighted holomorphic mappings. To be more precise, the concept of injective hull of normed weighted holomorphic ideals is introduced and characterized in terms of a domination property. The injective hulls of those ideals - generated by the procedures of composition and dual - are described and these descriptions are applied to some examples of such ideals. A characterization of the closed injective hull of an operator ideal in terms of an Ehrling-type inequality - due to Jarchow and Pelczyn<acute accent>ski- is established for weighted holomorphic mappings.
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页码：35 / 49
页数：15
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