2-local isometries on function spaces

DOI10.1090/conm/737/14860zbMath1441.46008arXiv1812.10342OpenAlexW2980063689MaRDI QIDQ5208818

Shiho Oi, Osamu Hatori

Publication date: 22 January 2020

Published in: Recent Trends in Operator Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10342

zbMATH Keywords

Banach algebrasurjective isometries$2$-local maps

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Isometric theory of Banach spaces (46B04)

Related Items (15)

Approximate local isometries of derivative Hardy spaces ⋮ 2-topological reflexivity of sets of isometries between bounded variation function spaces ⋮ On 2-local automorphisms of symmetric groups ⋮ Isometries and approximate local isometries between \(\mathrm{AC}^p (X)\)-spaces ⋮ Approximate local isometries of Banach algebras of differentiable functions ⋮ 2-local uniform isometries between complex Lipschitz algebras ⋮ On local isometries between algebras of \(C(Y)\)-valued differentiable maps ⋮ 2-local isometries between spaces of functions of bounded variation ⋮ 2-iso-reflexivity of pointed Lipschitz spaces ⋮ A SPHERICAL VERSION OF THE KOWALSKI–SŁODKOWSKI THEOREM AND ITS APPLICATIONS ⋮ 2-local isometries between Banach algebras of continuous functions with involution ⋮ Approximate local isometries on spaces of absolutely continuous functions ⋮ On 2-local nonlinear surjective isometries on normed spaces and C$^*$-algebras ⋮ On 2-local diameter-preserving maps between \(C(X)\)-spaces ⋮ On 2-local *-automorphisms and 2-local isometries of \(\mathscr{B}(H)\)

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