WIGNER’S THEOREM IN -TYPE SPACES

DOI10.1017/S0004972717000910zbMath1398.46010MaRDI QIDQ4607015

Weike Jia, Dong-Ni Tan

Publication date: 12 March 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Wigner's theorem\(L^{\infty}(\Gamma)\)-type spacesphase equivalent

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04)

Related Items (10)

On a universal inequality for approximate phase isometries ⋮ Phase-isometries between two \(\ell^p(\Gamma , H)\)-type spaces ⋮ Phase-isometries between normed spaces ⋮ RETRACTED – The wigner property for CL-spaces and finite-dimensional polyhedral banach spaces ⋮ A variant of Wigner's theorem in normed spaces ⋮ On approximate phase isometries ⋮ Phase-isometries on real normed spaces ⋮ The wigner property for CL-spaces and finite-dimensional polyhedral Banach spaces ⋮ Wigner's theorem on the Tsirelson space \(T\) ⋮ A note on Tingley’s problem and Wigner’s theorem in the unit sphere of ^∞(Γ)-type spaces

Cites Work

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• 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
• A new proof of Wigner's theorem
• A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems
• 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 variant of Wigner's functional equation
• Wigner's theorem revisited
• Wigner's theorem in atomic $L_p$-spaces ($p>0$)
• NONEXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME BANACH SPACES
• An elementary proof for the non-bijective version of Wigner's theorem

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