Superposition operator on the space of sequences almost converging to zero

DOI10.2478/S11533-011-0135-7zbMath1256.47036OpenAlexW2011040733MaRDI QIDQ424087

Egor A. Alekhno

Publication date: 31 May 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0135-7

zbMATH Keywords

almost convergencesuperposition operatorBanach-Mazur limit

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45)

Related Items (8)

Banach limits: extreme properties, invariance and the Fubini theorem ⋮ Dilation invariant Banach limits ⋮ Order and geometric properties of the set of Banach limits ⋮ Geometry of Banach limits and their applications ⋮ Invariant Banach limits and their extreme points ⋮ The main classes of invariant Banach limits ⋮ Order properties of the set of Banach limits ⋮ On Banach-Mazur limits

Cites Work

• The Set of all Generalized Limits of Bounded Sequences
• Consistency Theorems for Almost Convergence
• Banach Limits
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Superposition operator on the space of sequences almost converging to zero