Reflexivity of Banach \(C(K)\)-modules via the reflexivity of Banach lattices

DOI10.1007/s11117-013-0256-2zbMath1309.46003arXiv1305.6060OpenAlexW2045601320MaRDI QIDQ740819

Mehmet Orhon, Arkady K. Kitover

Publication date: 9 September 2014

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6060

zbMATH Keywords

Banach latticereflexive Banach spaceBanach \(C(K)\)-module

Mathematics Subject Classification ID

Banach lattices (46B42) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (4)

Weak sequential completeness in Banach \(C(K)\)-modules of finite multiplicity ⋮ Banach Space-valued Extensions of Linear Operators on L∞ ⋮ The dual Radon-Nikodym property for finitely generated Banach \(C(K)\)-modules ⋮ Spectrum of weighted composition operators. VI: Essential spectra of \(d\)-endomorphisms of Banach \(C(K)\)-modules

Cites Work

• The ideal center of the dual of a Banach lattice
• Reflexivity and approximate reflexivity for bounded boolean algebras of projections
• Champs de vecteurs non localement triviaux
• Boolean algebras of commuting projections
• Banach lattices
• Minimal and reflexive Banach lattices
• On multiplicity theory for Boolean algebras of projections
• Some new functional spaces
• Bases and reflexivity of Banach spaces
• On Boolean Algebras of Projections and Algebras of Operators
• A Multiplicity Theory for Boolean Algebras of Projections in Banach Spaces
• Projections in certain Banach spaces
• Reflexivity of Cyclic Banach Spaces
• Some more Banach spaces which contain l¹
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