A note on Tingley’s problem and Wigner’s theorem in the unit sphere of ∞(Γ)-type spaces

DOI10.2989/16073606.2020.1783010zbMath1489.46016OpenAlexW3041695207MaRDI QIDQ5860738

Publication date: 22 November 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1783010

zbMATH Keywords

Wigner's theorem Tingley's problem phase equivalent $\mathcal{L}^{\infty} (\Gamma)$-type spaces

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)

Related Items (1)

Phase-isometries on the unit sphere of $C(K)$

Cites Work

An alternative proof of Wigner theorem on quantum transformations based on elementary complex analysis
Two elementary proofs of the Wigner theorem on symmetry in quantum mechanics
Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces
Tingley's problem through the facial structure of operator algebras
A new proof of Wigner's theorem
On isometric extension problem between two unit spheres
The Mazur-Ulam property for two-dimensional somewhere-flat spaces
On the extension of isometries between the unit spheres of von Neumann algebras
A solution to Tingley's problem for isometries between the unit spheres of compact $\mathrm C^*$-algebras and $\mathrm {JB}^*$-triples
Low rank compact operators and Tingley's problem
A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems
Isometries of the unit sphere
Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
On Wigner's theorem: Remarks, complements, comments, and corollaries
A note on the Mazur-Ulam property of almost-CL-spaces
On the Mazur-Ulam property for the space of Hilbert-space-valued continuous functions
A reflection on Tingley's problem and some applications
Tingley's problem for $p$-Schatten von Neumann classes
Generalized-lush spaces and the Mazur–Ulam property
Wigner's theorem revisited
A survey on Tingley’s problem for operator algebras
WIGNER’S THEOREM IN -TYPE SPACES
Wigner's theorem in atomic $L_p$-spaces ($p>0$)
ON THE EXTENSION OF ISOMETRIES BETWEEN THE UNIT SPHERES OF A -TRIPLE AND A BANACH SPACE
Mankiewicz’s theorem and the Mazur–Ulam property for $\mathbf {C}^*$-algebras
NONEXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME BANACH SPACES
An elementary proof for the non-bijective version of Wigner's theorem

This page was built for publication: A note on Tingley’s problem and Wigner’s theorem in the unit sphere of ^∞(Γ)-type spaces