Spaceability in Banach Spaces Related to Locally Compact Groups
In this paper, for a locally compact group and a fixed number , we give some sufficient conditions for the set to be spaceable in . Also, by some special Segal algebras which recently have been introduced, we find spaceable subsets of the Fourier algebra . Finally, we give some necessary and suffi...
| Main Authors: | , |
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| Format: | Article |
| Language: | fas |
| Published: |
Kharazmi University
2021-12-01
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| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-2914-en.html |
| _version_ | 1797871649314308096 |
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| author | Seyyed Mohammad Tabatabaei Mohammad Fozouni |
| author_facet | Seyyed Mohammad Tabatabaei Mohammad Fozouni |
| author_sort | Seyyed Mohammad Tabatabaei |
| collection | DOAJ |
| description | In this paper, for a locally compact group and a fixed number , we give some sufficient conditions for the set to be spaceable in . Also, by some special Segal algebras which recently have been introduced, we find spaceable subsets of the Fourier algebra . Finally, we give some necessary and sufficient conditions for a locally compact group to be compact or discrete. |
| first_indexed | 2024-04-10T00:47:11Z |
| format | Article |
| id | doaj.art-638d58186bdf48b7b41d634096d095ef |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:47:11Z |
| publishDate | 2021-12-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-638d58186bdf48b7b41d634096d095ef2023-03-13T19:23:00ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542021-12-0173607616Spaceability in Banach Spaces Related to Locally Compact GroupsSeyyed Mohammad Tabatabaei0Mohammad Fozouni1 Dep. of Mathematics Dep. of Mathematics In this paper, for a locally compact group and a fixed number , we give some sufficient conditions for the set to be spaceable in . Also, by some special Segal algebras which recently have been introduced, we find spaceable subsets of the Fourier algebra . Finally, we give some necessary and sufficient conditions for a locally compact group to be compact or discrete.http://mmr.khu.ac.ir/article-1-2914-en.htmlspaceabilitylebesgue spacefourier algebralebesgue-fourier algebralocally compact group. |
| spellingShingle | Seyyed Mohammad Tabatabaei Mohammad Fozouni Spaceability in Banach Spaces Related to Locally Compact Groups پژوهشهای ریاضی spaceability lebesgue space fourier algebra lebesgue-fourier algebra locally compact group. |
| title | Spaceability in Banach Spaces Related to Locally Compact Groups |
| title_full | Spaceability in Banach Spaces Related to Locally Compact Groups |
| title_fullStr | Spaceability in Banach Spaces Related to Locally Compact Groups |
| title_full_unstemmed | Spaceability in Banach Spaces Related to Locally Compact Groups |
| title_short | Spaceability in Banach Spaces Related to Locally Compact Groups |
| title_sort | spaceability in banach spaces related to locally compact groups |
| topic | spaceability lebesgue space fourier algebra lebesgue-fourier algebra locally compact group. |
| url | http://mmr.khu.ac.ir/article-1-2914-en.html |
| work_keys_str_mv | AT seyyedmohammadtabatabaei spaceabilityinbanachspacesrelatedtolocallycompactgroups AT mohammadfozouni spaceabilityinbanachspacesrelatedtolocallycompactgroups |