Complemented subspaces of Banach lattices
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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 quasicomplemented Hilbertian subspaces of Banach spaces
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125088
Abstract: Abstract We prove the following theorem. Let T be a dense embedding of a Hilbert space H into a Banach space Y. Assume that there exists a subspace X of H whose density character satisfies… read more here.
Keywords: subspaces banach; spaces quasicomplemented; banach; banach spaces ... See more keywords