Duals of Cesàro sequence vector lattices, Cesàro sums of Banach lattices, and their finite elements

DOI10.1007/S00013-023-01840-7zbMath1530.46006OpenAlexW4366390705MaRDI QIDQ6156375

Uğur Gönüllü, Martin R. Weber, Faruk Polat

Publication date: 13 June 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-023-01840-7

zbMATH Keywords

finite elements in vector latticesatomic vector latticesCesàro sum of Banach latticesduals of Cesàro sequence spaces

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

Finite elements in ordered Banach spaces with positive bases

Cites Work

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• Cesàro vector lattices and their ideals of finite elements
• On Cauchy's condensation theorem
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• An Introduction to Banach Space Theory
• Factorizing the classical inequalities
• Finite Elements in Vector Lattices
• On finite elements in sublattices of Banach lattices

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