A SPHERICAL VERSION OF THE KOWALSKI–SŁODKOWSKI THEOREM AND ITS APPLICATIONS

DOI10.1017/S1446788720000452zbMath1487.46009OpenAlexW3108450665MaRDI QIDQ5164811

Shiho Oi

Publication date: 15 November 2021

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

Full work available at URL: https://doi.org/10.1017/s1446788720000452

zbMATH Keywords

surjective isometries2-local mapsKowalski-Słodkowski theorem

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Geometry and structure of normed linear spaces (46B20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Isometric theory of Banach spaces (46B04)

Related Items (9)

Approximate local isometries of derivative Hardy spaces ⋮ Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ On 2-local automorphisms of symmetric groups ⋮ On local isometries between algebras of \(C(Y)\)-valued differentiable maps ⋮ Local isometries on subspaces of continuous functions ⋮ 2-local isometries on vector-valued differentiable functions ⋮ Lie-Trotter formulae in Jordan-Banach algebras with applications to the study of spectral-valued multiplicative functionals ⋮ On 2-local nonlinear surjective isometries on normed spaces and C$^*$-algebras ⋮ A new look at local maps on algebraic structures of matrices and operators

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