On Geometric Constants for Discrete Morrey Spaces
In this paper we prove that the n-th Von Neumann-Jordan constant and the n-th James constant for discrete Morrey spaces lpq where 1≤p<q<∞ are both equal to n. This result tells us that the discrete Morrey spaces are not uniformly non-l1, and hence they are not uniformly n-convex.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Ada Academica
2021-12-01
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| Series: | European Journal of Mathematical Analysis |
| Subjects: | |
| Online Access: | https://adac.ee/index.php/ma/article/view/20 |
| _version_ | 1818355568911319040 |
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| author | Adam Adam Hendra Gunawan |
| author_facet | Adam Adam Hendra Gunawan |
| author_sort | Adam Adam |
| collection | DOAJ |
| description | In this paper we prove that the n-th Von Neumann-Jordan constant and the n-th James constant for discrete Morrey spaces lpq where 1≤p<q<∞ are both equal to n. This result tells us that the discrete Morrey spaces are not uniformly non-l1, and hence they are not uniformly n-convex. |
| first_indexed | 2024-12-13T19:43:24Z |
| format | Article |
| id | doaj.art-dd7c8aeed73640a9bd43c6e836029dd0 |
| institution | Directory Open Access Journal |
| issn | 2733-3957 |
| language | English |
| last_indexed | 2024-12-13T19:43:24Z |
| publishDate | 2021-12-01 |
| publisher | Ada Academica |
| record_format | Article |
| series | European Journal of Mathematical Analysis |
| spelling | doaj.art-dd7c8aeed73640a9bd43c6e836029dd02022-12-21T23:33:38ZengAda AcademicaEuropean Journal of Mathematical Analysis2733-39572021-12-0122210.28924/ada/ma.2.220On Geometric Constants for Discrete Morrey SpacesAdam Adam0Hendra Gunawan1https://orcid.org/0000-0001-7879-8321Analysis and Geometry Group, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, IndonesiaAnalysis and Geometry Group, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, IndonesiaIn this paper we prove that the n-th Von Neumann-Jordan constant and the n-th James constant for discrete Morrey spaces lpq where 1≤p<q<∞ are both equal to n. This result tells us that the discrete Morrey spaces are not uniformly non-l1, and hence they are not uniformly n-convex.https://adac.ee/index.php/ma/article/view/20n-th von neumann-jordan constantn-th james constantdiscrete morrey spacesuniformly non-l1 spacesuniformly n-convex spaces |
| spellingShingle | Adam Adam Hendra Gunawan On Geometric Constants for Discrete Morrey Spaces European Journal of Mathematical Analysis n-th von neumann-jordan constant n-th james constant discrete morrey spaces uniformly non-l1 spaces uniformly n-convex spaces |
| title | On Geometric Constants for Discrete Morrey Spaces |
| title_full | On Geometric Constants for Discrete Morrey Spaces |
| title_fullStr | On Geometric Constants for Discrete Morrey Spaces |
| title_full_unstemmed | On Geometric Constants for Discrete Morrey Spaces |
| title_short | On Geometric Constants for Discrete Morrey Spaces |
| title_sort | on geometric constants for discrete morrey spaces |
| topic | n-th von neumann-jordan constant n-th james constant discrete morrey spaces uniformly non-l1 spaces uniformly n-convex spaces |
| url | https://adac.ee/index.php/ma/article/view/20 |
| work_keys_str_mv | AT adamadam ongeometricconstantsfordiscretemorreyspaces AT hendragunawan ongeometricconstantsfordiscretemorreyspaces |