More Examples of Hereditarily ℓp Banach Spaces
Extending our previous result, we construct a class of hereditarily ℓp for 1 ≤ p < ∞ (c₀) Banach spaces, investigate their properties, and show that the classical Pitt theorem on compactness of operators from ℓs to ℓp for 1 ≤ p < s < ∞ is false in the general setting of heredita...
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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2005 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124585 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | More Examples of Hereditarily ℓp Banach Spaces / M.M. Popov // Український математичний вісник. — 2005. — Т. 2, № 1. — С. 92-108. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862538410729668608 |
|---|---|
| author | Popov, M.M. |
| author_facet | Popov, M.M. |
| citation_txt | More Examples of Hereditarily ℓp Banach Spaces / M.M. Popov // Український математичний вісник. — 2005. — Т. 2, № 1. — С. 92-108. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | Extending our previous result, we construct a class of hereditarily ℓp for 1 ≤ p < ∞ (c₀) Banach spaces, investigate their properties, and show that the classical Pitt theorem on compactness of operators from ℓs to ℓp for 1 ≤ p < s < ∞ is false in the general setting of hereditarily ℓs and ℓp spaces.
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| first_indexed | 2025-11-24T12:27:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124585 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-11-24T12:27:03Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Popov, M.M. 2017-09-29T14:28:38Z 2017-09-29T14:28:38Z 2005 More Examples of Hereditarily ℓp Banach Spaces / M.M. Popov // Український математичний вісник. — 2005. — Т. 2, № 1. — С. 92-108. — Бібліогр.: 10 назв. — англ. 1810-3200 2000 MSC. 46B20, 46E30. https://nasplib.isofts.kiev.ua/handle/123456789/124585 Extending our previous result, we construct a class of hereditarily ℓp for 1 ≤ p < ∞ (c₀) Banach spaces, investigate their properties, and show that the classical Pitt theorem on compactness of operators from ℓs to ℓp for 1 ≤ p < s < ∞ is false in the general setting of hereditarily ℓs and ℓp spaces. en Інститут прикладної математики і механіки НАН України Український математичний вісник More Examples of Hereditarily ℓp Banach Spaces Article published earlier |
| spellingShingle | More Examples of Hereditarily ℓp Banach Spaces Popov, M.M. |
| title | More Examples of Hereditarily ℓp Banach Spaces |
| title_full | More Examples of Hereditarily ℓp Banach Spaces |
| title_fullStr | More Examples of Hereditarily ℓp Banach Spaces |
| title_full_unstemmed | More Examples of Hereditarily ℓp Banach Spaces |
| title_short | More Examples of Hereditarily ℓp Banach Spaces |
| title_sort | more examples of hereditarily ℓp banach spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124585 |
| work_keys_str_mv | AT popovmm moreexamplesofhereditarilylpbanachspaces |