Projections in the convex hull of two isometries of absolutely continuous function spaces

DOI10.1007/s11117-020-00788-0zbMath1481.47047OpenAlexW3091415862MaRDI QIDQ2045889

Maliheh Hosseini

Publication date: 16 August 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-020-00788-0

zbMATH Keywords

absolutely continuous functionconvex combination of isometriesgeneralized bi-circular projectionsurjective linear isometry

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items (3)

Projections In the convex hull of three isometries on absolutely continuous function spaces ⋮ Projections in the convex hull of isometries on \(C^2 [0,1\)] ⋮ Projections in the convex hull of isometries on absolutely continuous function spaces

Cites Work

• Projections and averages of isometries on Lipschitz spaces
• \(G\)-invariant norms and bicircular projections
• Isometries on spaces of absolutely continuous vector-valued functions
• Projections as convex combinations of surjective isometries on \(\mathcal{C}(\varOmega)\)
• Projections in the Convex Hull of Surjective Isometries
• Linear Isometries of Spaces of Absolutely Continuous Functions
• Algebraic reflexivity of sets of bounded linear operators on absolutely continuous function spaces

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