Articles with "complemented subspaces" as a keyword



Complemented subspaces of Banach lattices

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Published in 2025 at "Banach Journal of Mathematical Analysis"

DOI: 10.1007/s43037-025-00447-0

Abstract: We survey recent developments on the structure of complemented subspaces of Banach lattices, including in particular the construction of a complemented subspace of a C(K)-space which is not linearly isomorphic to any Banach lattice. Motivated… read more here.

Keywords: subspaces banach; banach lattices; banach; complemented subspaces ... See more keywords

On complemented subspaces of non-Archimedean Köthe spaces

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Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.10.011

Abstract: Abstract The generalized power series spaces D f ( a , r ) are the most known and important examples of nuclear Kothe spaces. We prove that every Kothe–Montel space (over a non-Archimedean field K… read more here.

Keywords: subspaces non; power series; complemented subspaces; generalized power ... See more keywords