ON SOME CONSEQUENCES OF A GENERALIZED CONTINUITY

被引：0
|
作者：
Das, Pratulananda [1 ]
Savas, Ekrem [2 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India
[2] Istanbul Ticaret Univ, Dept Math, Uskudar Istanbul, Turkey
来源：
ARCHIVUM MATHEMATICUM | 2014年 / 50卷 / 02期
关键词：
(G(1); G(2))-continuity; homogeneous; linearity; conditions (NL1) and (NL2); normed space;
D O I：
10.5817/AM2014-2-107
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In normed linear space settings, modifying the sequential definition of continuity of an operator by replacing the usual limit "lim" with arbitrary linear regular summability methods G we consider the notion of a generalized continuity ((G(1), G(2))-continuity) and examine some of its consequences in respect of usual continuity and linearity of the operators between two normed linear spaces.
引用
收藏
页码：107 / 114
页数：8
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