An application of medial limits to iterative functional equations. II

DOI10.1007/s00025-021-01354-0zbMath1467.39016arXiv1909.02245OpenAlexW4255284876MaRDI QIDQ2038382

Janusz Morawiec

Publication date: 6 July 2021

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

Full work available at URL: https://arxiv.org/abs/1909.02245

zbMATH Keywords

iterative functional equationsbounded solutionsBanach limitsmedial limits

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Iteration theory, iterative and composite equations (39B12) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach sequence spaces (46B45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An application of medial limits to iterative functional equations
• Some classes of linear operators involved in functional equations
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• THE FILTER DICHOTOMY AND MEDIAL LIMITS
• On the Measure-Theoretic Character of an Invariant Mean
• On the Size of the Set of Left Invariant Means on a Semigroup
• Recent results on functional equations in a single variable, perspectives and open problems