A note on 1-semi-greedy bases in p-Banach spaces with 0 < p ≤ 1
The purpose of this article is to discuss about the so-called semi-greedy bases in pp-Banach spaces. Specifically, we will review existing results that characterize these bases in terms of almost-greedy bases, and, also, we analyze quantitatively the behavior of certain constants. As new results, by...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2024-12-01
|
| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2024-0047 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846129257874456576 |
|---|---|
| author | Berná Pablo M. García Andrea González David |
| author_facet | Berná Pablo M. García Andrea González David |
| author_sort | Berná Pablo M. |
| collection | DOAJ |
| description | The purpose of this article is to discuss about the so-called semi-greedy bases in pp-Banach spaces. Specifically, we will review existing results that characterize these bases in terms of almost-greedy bases, and, also, we analyze quantitatively the behavior of certain constants. As new results, by avoiding the use of certain classical results in pp-convexity, we aim to quantitatively improve specific bounds for bi-monotone 1-semi-greedy bases. |
| format | Article |
| id | doaj-art-93330bef948c46fb80283257a84bba76 |
| institution | Kabale University |
| issn | 2391-4661 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj-art-93330bef948c46fb80283257a84bba762024-12-10T07:31:01ZengDe GruyterDemonstratio Mathematica2391-46612024-12-0157136537910.1515/dema-2024-0047A note on 1-semi-greedy bases in p-Banach spaces with 0 < p ≤ 1Berná Pablo M.0García Andrea1González David2Departamento de Métodos Cuantitativos, CUNEF Universidad, Madrid, 28040, SpainDepartamento de Métodos Cuantitativos, CUNEF Universidad, Madrid, 28040, SpainUniversidad San Pablo-CEU, CEU Universities, Madrid, 28003, SpainThe purpose of this article is to discuss about the so-called semi-greedy bases in pp-Banach spaces. Specifically, we will review existing results that characterize these bases in terms of almost-greedy bases, and, also, we analyze quantitatively the behavior of certain constants. As new results, by avoiding the use of certain classical results in pp-convexity, we aim to quantitatively improve specific bounds for bi-monotone 1-semi-greedy bases.https://doi.org/10.1515/dema-2024-0047non-linear approximationgreedy algorithmsemi-greedy bases41a6546b15 |
| spellingShingle | Berná Pablo M. García Andrea González David A note on 1-semi-greedy bases in p-Banach spaces with 0 < p ≤ 1 Demonstratio Mathematica non-linear approximation greedy algorithm semi-greedy bases 41a65 46b15 |
| title | A note on 1-semi-greedy bases in p-Banach spaces with 0 < p ≤ 1 |
| title_full | A note on 1-semi-greedy bases in p-Banach spaces with 0 < p ≤ 1 |
| title_fullStr | A note on 1-semi-greedy bases in p-Banach spaces with 0 < p ≤ 1 |
| title_full_unstemmed | A note on 1-semi-greedy bases in p-Banach spaces with 0 < p ≤ 1 |
| title_short | A note on 1-semi-greedy bases in p-Banach spaces with 0 < p ≤ 1 |
| title_sort | note on 1 semi greedy bases in p banach spaces with 0 p ≤ 1 |
| topic | non-linear approximation greedy algorithm semi-greedy bases 41a65 46b15 |
| url | https://doi.org/10.1515/dema-2024-0047 |
| work_keys_str_mv | AT bernapablom anoteon1semigreedybasesinpbanachspaceswith0p1 AT garciaandrea anoteon1semigreedybasesinpbanachspaceswith0p1 AT gonzalezdavid anoteon1semigreedybasesinpbanachspaceswith0p1 AT bernapablom noteon1semigreedybasesinpbanachspaceswith0p1 AT garciaandrea noteon1semigreedybasesinpbanachspaceswith0p1 AT gonzalezdavid noteon1semigreedybasesinpbanachspaceswith0p1 |