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 conditio...

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Bibliografski detalji

Glavni autor:	I.S. Feshchenko
Format:	Artigo
Jezik:	Inglês
Izdano:	Publishing House "Akademperiodyka" 2024-03-01
Serija:	Доповiдi Нацiональної академiї наук України
Teme:	closed subspace, complemented subspace, marginal subspace, projection, sum of subspaces
Online pristup:	https://nasu-periodicals.org.ua/index.php/dp/article/view/350
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