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 hereditarily ℓs and...
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| Datum: | 2005 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2005
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| Schriftenreihe: | Український математичний вісник |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124585 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| Zusammenfassung: | 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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