Some Functional Sections in Topological Sequence Spaces
Summability is a particularly fertile field for functional analysis application. Summability through functional analysis has become one of the most fascinating disciplines since it contains both interesting and challenging issues. In this paper, we aim to introduce four new sectional properties for...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6449630 |
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| _version_ | 1850157721008996352 |
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| author | Ahmet Ocak Akdemir Merve Temizer Ersoy Hasan Furkan Maria Alessandra Ragusa |
| author_facet | Ahmet Ocak Akdemir Merve Temizer Ersoy Hasan Furkan Maria Alessandra Ragusa |
| author_sort | Ahmet Ocak Akdemir |
| collection | DOAJ |
| description | Summability is a particularly fertile field for functional analysis application. Summability through functional analysis has become one of the most fascinating disciplines since it contains both interesting and challenging issues. In this paper, we aim to introduce four new sectional properties for topological sequence spaces: sectional weakly absolute convergence (WAC), sectional weak boundedness (WB), sectional weakly p-absolute convergence WpAC, and sectional weakly bounded variation (WBV). We have, also, investigate some of their relations and identities. |
| format | Article |
| id | doaj-art-34dc7d033ff74c719a28bb38c9da868a |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-34dc7d033ff74c719a28bb38c9da868a2025-08-20T02:24:04ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6449630Some Functional Sections in Topological Sequence SpacesAhmet Ocak Akdemir0Merve Temizer Ersoy1Hasan Furkan2Maria Alessandra Ragusa3Department of MathematicsDepartment of Software EngineeringDepartment of MathematicsDipartimento di Matematica e InformaticaSummability is a particularly fertile field for functional analysis application. Summability through functional analysis has become one of the most fascinating disciplines since it contains both interesting and challenging issues. In this paper, we aim to introduce four new sectional properties for topological sequence spaces: sectional weakly absolute convergence (WAC), sectional weak boundedness (WB), sectional weakly p-absolute convergence WpAC, and sectional weakly bounded variation (WBV). We have, also, investigate some of their relations and identities.http://dx.doi.org/10.1155/2022/6449630 |
| spellingShingle | Ahmet Ocak Akdemir Merve Temizer Ersoy Hasan Furkan Maria Alessandra Ragusa Some Functional Sections in Topological Sequence Spaces Journal of Function Spaces |
| title | Some Functional Sections in Topological Sequence Spaces |
| title_full | Some Functional Sections in Topological Sequence Spaces |
| title_fullStr | Some Functional Sections in Topological Sequence Spaces |
| title_full_unstemmed | Some Functional Sections in Topological Sequence Spaces |
| title_short | Some Functional Sections in Topological Sequence Spaces |
| title_sort | some functional sections in topological sequence spaces |
| url | http://dx.doi.org/10.1155/2022/6449630 |
| work_keys_str_mv | AT ahmetocakakdemir somefunctionalsectionsintopologicalsequencespaces AT mervetemizerersoy somefunctionalsectionsintopologicalsequencespaces AT hasanfurkan somefunctionalsectionsintopologicalsequencespaces AT mariaalessandraragusa somefunctionalsectionsintopologicalsequencespaces |