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

页码：107 / 114

页数：8

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