On vector-valued Banach limits with values in $\mathcal{B}(\mathcal{H})$

DOI10.5486/PMD.2018.8041zbMath1399.40022OpenAlexW2796210901MaRDI QIDQ4638675

Ryotaro Tanaka

Publication date: 27 April 2018

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5486/pmd.2018.8041

zbMATH Keywords

almost convergencebounded linear operatorBanach limitmonotone \(\sigma\)-completeness

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Special classes of linear operators (47B99) Summability in abstract structures (40J05)

Related Items (3)

Extremal properties of the set of vector-valued Banach limits ⋮ Geometry of Banach limits and their applications ⋮ General methods of convergence and summability

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