A note on the Mazur-Ulam property of almost-CL-spaces

DOI10.1016/j.jmaa.2013.03.024zbMath1306.46015arXiv1209.0055OpenAlexW2963123236MaRDI QIDQ2257220

Rui Liu, Dong-Ni Tan

Publication date: 24 February 2015

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

Full work available at URL: https://arxiv.org/abs/1209.0055

zbMATH Keywords

isometric extensionunit sphere(T)-propertyalmost-CL-space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items

A reflection on Tingley's problem and some applications ⋮ A FURTHER PROPERTY OF SPHERICAL ISOMETRIES ⋮ The Mazur-Ulam property in \(\ell_\infty\)-sum and \(c_0\)-sum of strictly convex Banach spaces ⋮ Tingley's problem for complex Banach spaces which do not satisfy the Hausdorff distance condition ⋮ On the Figiel type problem and extension of \(\varepsilon\)-isometry between unit spheres ⋮ Unnamed Item ⋮ Phase-isometries on the unit sphere of CL-spaces ⋮ The slice approximating property and Figiel-type problem on unit spheres ⋮ A solution to Tingley's problem for isometries between the unit spheres of compact \(\mathrm C^*\)-algebras and \(\mathrm {JB}^*\)-triples ⋮ The Mazur–Ulam property for the space of complex null sequences ⋮ ON THE EXTENSION OF ISOMETRIES BETWEEN THE UNIT SPHERES OF A -TRIPLE AND A BANACH SPACE ⋮ RETRACTED – The wigner property for CL-spaces and finite-dimensional polyhedral banach spaces ⋮ Tingley's problem on finite von Neumann algebras ⋮ A Tingley's type problem in \(n\)-normed spaces ⋮ Some remarks on generalised lush spaces ⋮ Tingley's problems on uniform algebras ⋮ Tingley's problem on symmetric absolute normalized norms on \(\mathbb R^2\) ⋮ The wigner property for CL-spaces and finite-dimensional polyhedral Banach spaces ⋮ A note on Tingley’s problem and Wigner’s theorem in the unit sphere of ^∞(Γ)-type spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a generalized Mazur-Ulam question: Extension of isometries between unit spheres of Banach spaces
• On extension of isometries on the unit spheres of \(L^p\)-spaces for \(0 < p \leq 1\)
• Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces
• Extension of isometries on unit sphere of \(L^\infty\)
• Extension of isometries between the unit spheres of normed space \(E\) and \(C(\Omega)\)
• On extension of isometries and approximate isometries between unit spheres
• The isometric extension of ``into mappings on unit spheres of \(AL\)-spaces
• A note on extension of isometric embedding from a Banach space \(E\) into the universal space \(\ell _{\infty }(\Gamma )\)
• On isometric extension problem between two unit spheres
• Geometry of Banach spaces. Selected topics
• Intersection properties of balls in spaces of compact operators
• Extension of isometries on the unit sphere of \(L^p\) spaces
• Isometries of the unit sphere
• On CL-spaces and almost CL-spaces
• On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\)
• The isometric extension of the into mapping from a \(\mathcal{L}^{\infty}(\Gamma)\)-type space to some Banach space
• Characterizing separability of function spaces
• A base norm space whose cone is not 1-generating
• Numerical index of some polyhedral norms on the plane
• Intersection Properties of Balls and Subspaces in Banach Spaces
• Banach spaces having the Radon-Nikodym property and numerical index 1
• On perturbations and extensions of isometric operators