Geodesic
On some consequences of a generalized continuity
Archivum mathematicum, Tome 50 (2014) no. 2, pp. 107-114

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 $\bf {G}$ we consider the notion of a generalized continuity ($(\bf {G_1}, \bf {G_2}) $-continuity) and examine some of its consequences in respect of usual continuity and linearity of the operators between two normed linear spaces.
DOI : 10.5817/AM2014-2-107
Classification : 40C05, 47L05
Keywords: continuity; $({\mathbf{G_1}}, {\mathbf{G_2}})$-continuity; homogeneous; linearity; conditions (NL1) and (NL2); normed space 
@article{10_5817_AM2014_2_107,
     author = {Das, Pratulananda and Savas, Ekrem},
     title = {On some consequences of a generalized continuity},
     journal = {Archivum mathematicum},
     pages = {107--114},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {2014},
     doi = {10.5817/AM2014-2-107},
     mrnumber = {3215284},
     zbl = {06391570},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2014-2-107/}
}
TY  - JOUR
AU  - Das, Pratulananda
AU  - Savas, Ekrem
TI  - On some consequences of a generalized continuity
JO  - Archivum mathematicum
PY  - 2014
SP  - 107
EP  - 114
VL  - 50
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2014-2-107/
DO  - 10.5817/AM2014-2-107
LA  - en
ID  - 10_5817_AM2014_2_107
ER  - 
%0 Journal Article
%A Das, Pratulananda
%A Savas, Ekrem
%T On some consequences of a generalized continuity
%J Archivum mathematicum
%D 2014
%P 107-114
%V 50
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2014-2-107/
%R 10.5817/AM2014-2-107
%G en
%F 10_5817_AM2014_2_107
Das, Pratulananda; Savas, Ekrem. On some consequences of a generalized continuity. Archivum mathematicum, Tome 50 (2014) no. 2, pp. 107-114. doi: 10.5817/AM2014-2-107

Cité par Sources :