Weak weight-semi-greedy Markushevich bases
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866916487233536000 |
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| author | Berasategui, Miguel Lassalle, Silvia |
| author_facet | Berasategui, Miguel Lassalle, Silvia |
| contents | We introduce and study the notion of weak weight-semi-greedy Markushevich bases - which extends the concepts of weight semi-greedy and weak semi-greedy Markushevich bases. In particular, we study conditions under which such bases are weight almost greedy. We also define the notion of weak weight almost greedy bases, and prove that this formally weaker concept is equivalent to that concept of weight almost greedy bases. Finally, we study some parameters involving the weak thresholding and Chebyshevian greedy algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_00693 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Weak weight-semi-greedy Markushevich bases Berasategui, Miguel Lassalle, Silvia Functional Analysis 41A65 (Primary) 46B15, 46B20 (Secondary) We introduce and study the notion of weak weight-semi-greedy Markushevich bases - which extends the concepts of weight semi-greedy and weak semi-greedy Markushevich bases. In particular, we study conditions under which such bases are weight almost greedy. We also define the notion of weak weight almost greedy bases, and prove that this formally weaker concept is equivalent to that concept of weight almost greedy bases. Finally, we study some parameters involving the weak thresholding and Chebyshevian greedy algorithms. |
| title | Weak weight-semi-greedy Markushevich bases |
| topic | Functional Analysis 41A65 (Primary) 46B15, 46B20 (Secondary) |
| url | https://arxiv.org/abs/2111.00693 |