LOCALLY UNIFORMLY CONTINUOUS-FUNCTIONS

被引：0

作者：

IZZO, AJ

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that on every infinite-dimensional separable normed space there exist continuous real-valued functions that are nowhere locally uniformly continuous. An explicit example of such a function on l(p) (1 less than or equal to p < infinity) is given. It is also shown that every continuous real-valued function on a metric space can be approximated uniformly by locally uniformly continuous functions.

引用

下载

页码：1095 / 1100

页数：6

共 50 条

[41] BARELY CONTINUOUS-FUNCTIONS
MICHAEL, E
NAMIOKA, I
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1976, 24 (10): : 889 - 892
[42] SEMIGROUPS OF CONTINUOUS-FUNCTIONS
CSASZAR, A
ACTA SCIENTIARUM MATHEMATICARUM, 1983, 45 (1-4): : 131 - 140
[43] FUNCTIONALS ON CONTINUOUS-FUNCTIONS
BAXTER, JR
CHACON, RV
PACIFIC JOURNAL OF MATHEMATICS, 1974, 51 (02) : 355 - 362
[44] ON ALMOST CONTINUOUS-FUNCTIONS
NOIRI, T
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1989, 20 (06): : 571 - 576
[45] RINGS OF CONTINUOUS-FUNCTIONS
CHERLIN, GL
JOURNAL OF SYMBOLIC LOGIC, 1977, 42 (01) : 137 - 137
[46] SPACES OF CONTINUOUS-FUNCTIONS
MANDELBROIT, S
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 280 (03): : 97 - 99
[47] SEPARATELY CONTINUOUS-FUNCTIONS
NEWMAN, DJ
MONTGOMERY, HL
FINE, NJ
GRIPENBERG, G
HENSLEY, D
KUTTLER, JR
LOSSERS, OP
MCCOY, R
NOLTIE, S
RIESE, A
SELLKE, T
SOLOMON, A
VOJTA, P
AMERICAN MATHEMATICAL MONTHLY, 1978, 85 (03): : 198 - 199
[48] DERIVATIVES OF CONTINUOUS-FUNCTIONS
不详
AMERICAN MATHEMATICAL MONTHLY, 1982, 89 (08): : 603 - 604
[49] DIGITALLY CONTINUOUS-FUNCTIONS
BOXER, L
PATTERN RECOGNITION LETTERS, 1994, 15 (08) : 833 - 839
[50] EXTENSIONS OF CONTINUOUS-FUNCTIONS
FIRBY, PA
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1972, 5 (JUN): : 15 - &

← 1 2 3 4 5 →