A new complemented subspace for the Lorentz sequence spaces, with an application to its lattice of closed ideals

DOI10.4153/S0008439521000576zbMath1504.46020arXiv2012.08935OpenAlexW3210328102MaRDI QIDQ5099403

Ben Wallis

Publication date: 31 August 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.08935

zbMATH Keywords

Lorentz sequence spacescomplemented subspaceslattice of closed ideals

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Banach sequence spaces (46B45) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

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• Norm closed operator ideals in Lorentz sequence spaces
• On symmetric basic sequences in Lorentz sequence spaces. II
• The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces
• Closed ideals of operators acting on some families of sequence spaces
• On symmetric basic sequences in Lorentz sequence spaces
• Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
• Ultraproducts in Banach space theory.

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