A sufficient condition for the sum of complemented subspaces to be complemented
We provide a sufficient condition for the sum of a finite number of complemented subspaces of a Banach space to be complemented. Under this condition, the formula for a projection onto the sum is given. The condition is sharp (in a certain sense). As an application, we provide a sufficient conditi...
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| Date: | 2019 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Видавничий дім "Академперіодика" НАН України
2019
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| Series: | Доповіді НАН України |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/150462 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A sufficient condition for the sum of complemented subspaces to be complemented / I.S. Feshchenko // Доповіді Національної академії наук України. — 2019. — № 1. — С. 10-15. — Бібліогр.: 13 назв. — англ. |