NONEXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME BANACH SPACES
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Publication:5322941
DOI10.1017/S000497270900015XzbMath1181.46007MaRDI QIDQ5322941
Publication date: 23 July 2009
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Isometric theory of Banach spaces (46B04)
Related Items (10)
How to recognize nonexpansive mappings and isometric mappings ⋮ On isometries and Tingley’s problem for the spaces $T[\theta , \mathcal{S}_{\alpha }$, $1 \leqslant\alpha \lt \omega _{1}$] ⋮ Some new properties and isometries on the unit spheres of generalized James spaces \(J_{p}\) ⋮ WIGNER’S THEOREM IN -TYPE SPACES ⋮ On extension of isometries on the unit spheres of \(L^p\)-spaces for \(0 < p \leq 1\) ⋮ Extension of isometries on the unit sphere of \(L^p\) spaces ⋮ Sharp corner points and isometric extension problem in Banach spaces ⋮ NONEXPANSIVE MAPPINGS AND EXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME F-SPACES ⋮ On isometric extension problem between two unit spheres ⋮ A note on Tingley’s problem and Wigner’s theorem in the unit sphere of ∞(Γ)-type spaces
Cites Work
- Isometries on unit sphere of (\(\ell^{\beta_n}\))
- On extension of isometries between unit spheres of \(L_{p}(\mu )\) and \(L_{p}(\nu ,H)\) (\(1< p \neq 2\), \(H\) is a Hilbert space)
- On the extension of isometries between unit spheres of \(E\) and \(C(\Omega)\).
- Isometries of the unit sphere
- On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\)
- The representation theorem of onto isometric mappings between two unit spheres of \(l^1(\Gamma)\) type spaces and the application to the isometric extension problem
- New Method for Expansion and Contraction Maps in Uniform Spaces
- On extension of isometries between unit spheres of 𝐴𝐿_{𝑝}-spaces (0<𝑝<∞)
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