The Banach spaces ΛBV are non-reflexive

被引：2
|
作者：
Prus-Wisniowski, Franciszek [1 ]
Ruckle, William H. [2 ]
机构：
[1] Uniwersytet Szczecinski, Inst Matemat, PL-70453 Szczecin, Poland
[2] Clemson Univ, Seneca, SC 29672 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 389卷 / 02期
关键词：
Generalized variation; Reflexivity; BOUNDED VARIATION;
D O I：
10.1016/j.jmaa.2011.11.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is known that the Banach space BV of functions of bounded variation on a closed interval is non-reflexive. We prove that the same is true for all spaces Lambda BV of functions of bounded Lambda-variation. (C) 2011 Elsevier Inc. All rights reserved.
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页码：1394 / 1396
页数：3
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