The Banach algebras \(AC(\sigma)\) and \(BV(\sigma)\)

DOI10.1007/s00025-022-01788-0OpenAlexW4310021871MaRDI QIDQ2102745

Ian Doust, Alan Stoneham, Michael Leinert

Publication date: 29 November 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.00986

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (1)

Approximation in \(AC(\sigma)\)

Cites Work

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• Stečkin's theorem, transference, and spectral decompositions
• Asymptotic (statistical) periodicity in two-dimensional maps
• Approximation in \(AC(\sigma)\)
• Continuously differentiable functions on compact sets
• \(AC(\sigma)\) spaces for polygonally inscribed curves
• Quasianalytic Banach function algebras
• Compact well-bounded operators
• Conditionally convergent spectral expansions
• On well-bounded operators
• Absolutely Continuous Functions of Two Variables and Well-Bounded Operators
• A COMPARISON OF ALGEBRAS OF FUNCTIONS OF BOUNDED VARIATION
• Isomorphisms of AC(σ) spaces
• Abstract Spectral Decompositions Guaranteed by the Hilbert Transform
• The relationship between polar and AC operators
• Functions of bounded variation on compact subsets of the plane
• On Definitions of Bounded Variation for Functions of Two Variables
• $AC(\sigma)$ operators
• On Well-Bounded Operators. II
• Isomorphisms of BV(σ) spaces

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