BEHAVIOR OF HOLOMORPHIC MAPPINGS ON p-COMPACT SETS IN A BANACH SPACE

被引：7
|
作者：
Aron, Richard M. [1 ]
Caliskan, Erhan [2 ]
Garcia, Domingo [3 ]
Maestre, Manuel [3 ]
机构：
[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
[2] Yildiz Tech Univ, Fac Sci & Arts, Dept Math, TR-34210 Istanbul, Turkey
[3] Univ Valencia, Dept Anal Matemat, Doctor Moliner 50, Burjassot 46100, Valencia, Spain
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 368卷 / 07期
关键词：
Banach spaces; p-compact sets; homogeneous polynomials; holomorphic mappings; HOMOGENEOUS POLYNOMIALS; APPROXIMATION PROPERTY; OPERATORS; SUBSPACES; ADJOINTS; L(P);
D O I：
10.1090/tran/6499
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the behavior of holomorphic mappings on p-compact sets in Banach spaces. We show that the image of a p-compact set by an entire mapping is a p-compact set. Some results related to the localization of p-compact sets in the predual of homogeneous polynomials are also obtained. Finally, the "size" of p-compactness of the image of the unit ball by p-compact linear operators is studied.
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页码：4855 / 4871
页数：17
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