On extension of isometries on the unit spheres of \(L^p\)-spaces for \(0 < p \leq 1\)
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Publication:642560
DOI10.1016/j.na.2011.07.035zbMath1235.46005OpenAlexW2203958977MaRDI QIDQ642560
Publication date: 27 October 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.07.035
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Isometric theory of Banach spaces (46B04)
Related Items (27)
Extension of isometries between the unit spheres of \(p\)-normed spaces ⋮ Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ The isometric extension problem between unit spheres of two separable Banach spaces ⋮ Tingley's problem for spaces of trace class operators ⋮ On the extension of isometries between the unit spheres of von Neumann algebras ⋮ The Mazur–Ulam property for uniform algebras ⋮ Tingley's problem for \(p\)-Schatten von Neumann classes ⋮ Extension of quasi-Hölder embeddings between unit spheres of \(p\)-normed spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ Unnamed Item ⋮ On extension of norm-additive maps between the positive unit spheres of \(\ell_q (\ell_p)\) ⋮ On the extension of isometries between the unit spheres of a C*-algebra and 𝐵(𝐻) ⋮ Some new properties and isometries on the unit spheres of generalized James spaces \(J_{p}\) ⋮ A Survey on Isometries Between Lipschitz Spaces ⋮ 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 ⋮ Extending surjective isometries defined on the unit sphere of \(\ell_\infty(\Gamma)\) ⋮ Tingley's problem on finite von Neumann algebras ⋮ On a variant of Tingley's problem for some function spaces ⋮ On the unit sphere of positive operators ⋮ Sharp corner points and isometric extension problem in Banach spaces ⋮ A note on the Mazur-Ulam property of almost-CL-spaces ⋮ Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces based on measures of noncompactness ⋮ Low rank compact operators and Tingley's problem ⋮ The Mazur–Ulam property for commutative von Neumann algebras ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces
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