| Title:
|
On some consequences of a generalized continuity (English) |
| Author:
|
Das, Pratulananda |
| Author:
|
Savas, Ekrem |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2014 |
| Pages:
|
107-114 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
continuity |
| Keyword:
|
$({\mathbf{G_1}},{\mathbf{G_2}})$-continuity |
| Keyword:
|
homogeneous |
| Keyword:
|
linearity |
| Keyword:
|
conditions (NL1) and (NL2) |
| Keyword:
|
normed space |
| MSC:
|
40C05 |
| MSC:
|
47L05 |
| idZBL:
|
Zbl 06391570 |
| idMR:
|
MR3215284 |
| DOI:
|
10.5817/AM2014-2-107 |
| . |
| Date available:
|
2014-05-23T09:35:59Z |
| Last updated:
|
2015-03-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143784 |
| . |
| Reference:
|
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| . |
