On the quasi-Figiel problem and extension of $\varepsilon$-isometry on unit sphere of $\mathcal{L}_{\infty, 1^+}$ space

DOI10.1016/j.jmaa.2023.127299zbMath1528.46008OpenAlexW4362606368MaRDI QIDQ6044203

No author found.

Publication date: 17 May 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127299

zbMATH Keywords

$\varepsilon$-isometry Mazur-Ulam property $L_1$-predual quasi-Figiel problem

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)

Related Items (1)

The slice approximating property and Figiel-type problem on unit spheres

Cites Work

Unnamed Item
Unnamed Item
On a generalized Mazur-Ulam question: Extension of isometries between unit spheres of Banach spaces
Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces
Isometric embeddings of compact spaces into Banach spaces
On extension of isometries and approximate isometries between unit spheres
The Mazur-Ulam property for two-dimensional somewhere-flat spaces
Low rank compact operators and Tingley's problem
Isometries of the unit sphere
On nonlinear perturbations of isometries
On stability of nonlinear non-surjective $\varepsilon $-isometries of Banach spaces
Every non-smooth 2-dimensional Banach space has the Mazur-Ulam property
Every $2$-dimensional Banach space has the Mazur-Ulam property
On perturbed metric-preserved mappings and their stability characterizations
A universal theorem for stability of $\varepsilon$-isometries of Banach spaces
The $L_ p$ spaces
Banach spaces whose duals are $L_ 1$ spaces and their representing matrices
A reflection on Tingley's problem and some applications
Generalized-lush spaces and the Mazur–Ulam property
On the extension of isometries between the unit spheres of a C*-algebra and 𝐵(𝐻)
ɛ-Isometric Embeddings
The Mazur–Ulam property for uniform algebras
The Mazur–Ulam property for abelian $C^*$-algebras
A note on the stability of nonsurjective 𝜖-isometries of Banach spaces
Stability of Isometries on Banach Spaces
Mankiewicz’s theorem and the Mazur–Ulam property for $\mathbf {C}^*$-algebras
On approximate isometries

This page was built for publication: On the quasi-Figiel problem and extension of $\varepsilon$-isometry on unit sphere of $\mathcal{L}_{\infty, 1^+}$ space

On the quasi-Figiel problem and extension of \(\varepsilon\)-isometry on unit sphere of \(\mathcal{L}_{\infty, 1^+}\) space