On the symmetrizations of \(\varepsilon \)-isometries on positive cones of continuous function spaces

DOI10.1134/S0016266321010081zbMath1485.46017OpenAlexW3198134489MaRDI QIDQ2234385

Long Fa Sun

Publication date: 19 October 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266321010081

zbMATH Keywords

stabilityfunction spacesymmetrization of \(\varepsilon \)-isometry

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

• Unnamed Item
• On weak stability of \(\varepsilon\)-isometries on wedges and its applications
• On linear isometries and \(\varepsilon\)-isometries between Banach spaces
• On stability of nonlinear non-surjective \(\varepsilon \)-isometries of Banach spaces
• On the symmetrizations of \(\epsilon \)-isometries on Banach spaces
• A universal theorem for stability of \(\varepsilon\)-isometries of Banach spaces
• Stability of almost surjective \(\varepsilon\)-isometries of Banach spaces
• Hyers-Ulam stability of isometries and non-expansive maps between spaces of continuous functions

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