ON THE SPACE OF VECTOR-VALUED FUNCTIONS OF BOUNDED VARIATION

被引：1

作者：

KITAHARA, K ^{[1
]}

机构：

[1] SAGA UNIV,FAC EDUC,DEPT MATH,SAGA 840,JAPAN

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1990年 / 20卷 / 01期

关键词：

Helly’s selection principle; Spaces of functions of bounded variation;

D O I：

10.1216/rmjm/1181073169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If the space of all real-valued functions of bounded variation on a real closed interval is endowed with the topology of simple convergence, then every bounded subset which is bounded for the values of total variation is relatively sequentially compact by Belly’s selection principle. In this paper, by treating vector-valued functions on a linearly ordered set, we consider an extension of this classical result. © 1990 Rocky Mountain Mathematics Consortium.

引用

页码：165 / 171

页数：7

共 50 条

[1] BOUNDED CONTINUOUS VECTOR-VALUED FUNCTIONS ON A LOCALLY COMPACT SPACE
WELLS, J
[J]. MICHIGAN MATHEMATICAL JOURNAL, 1965, 12 (01) : 119 - &
[2] WEAK COMPACTNESS IN THE SPACE OF VECTOR-VALUED MEASURES OF BOUNDED VARIATION
RANDRIANANTOANINA, N
SAAB, E
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1994, 24 (02) : 681 - 688
[3] Weak Precompactness in the Space of Vector-Valued Measures of Bounded Variation
Ghenciu, Ioana
[J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
[4] Relaxation of functionals in the space of vector-valued functions of bounded Hessian
Hagerty, Adrian
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 58 (01)
[5] Relaxation of functionals in the space of vector-valued functions of bounded Hessian
Adrian Hagerty
[J]. Calculus of Variations and Partial Differential Equations, 2019, 58
[6] Extension of bounded vector-valued functions
Frerick, Leonhard
Jorda, Enrique
Wengenroth, Jochen
[J]. MATHEMATISCHE NACHRICHTEN, 2009, 282 (05) : 690 - 712
[7] AN EXISTENCE THEOREM FOR BOUNDED VECTOR-VALUED FUNCTIONS
ZAIDMAN, S
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (07): : 1061 - &
[8] THE DAUGAVET EQUATION FOR BOUNDED VECTOR-VALUED FUNCTIONS
Brach, Stefan
Sanchez Perez, Enrique A.
Werner, Dirk
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (06) : 1765 - 1801
[9] On some spaces of vector-valued bounded functions
Ferrando, JC
[J]. MATHEMATICA SCANDINAVICA, 1999, 84 (01) : 71 - 80
[10] NUCLEAR OPERATORS ON THE BANACH SPACE OF VECTOR-VALUED ESSENTIALLY BOUNDED MEASURABLE FUNCTIONS
Nowak, Marian
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (06) : 2573 - 2585

← 1 2 3 4 5 →