2-topological reflexivity of sets of isometries between bounded variation function spaces

DOI10.1007/s11117-022-00906-0zbMath1506.46010OpenAlexW4220693347MaRDI QIDQ2121638

Maliheh Hosseini

Publication date: 4 April 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-022-00906-0

zbMATH Keywords

functions of bounded variationsurjective isometries2-local isometry2-algebraical reflexivity2-topological reflexivity

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on function spaces (general) (47B38) Isometric theory of Banach spaces (46B04)

Cites Work

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• Real-linear isometries on spaces of functions of bounded variation
• Noncompactness and noncompleteness in isometries of Lipschitz spaces
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Weak-2-local isometries on uniform algebras and Lipschitz algebras
• Approximate local isometries on spaces of absolutely continuous functions
• 2-iso-reflexivity of pointed Lipschitz spaces
• On 2-local *-automorphisms and 2-local isometries of \(\mathscr{B}(H)\)
• Approximate local isometries of Banach algebras of differentiable functions
• 2-Local Isometries on Spaces of Lipschitz Functions
• The set of automorphisms of B(H) is topologically reflexive in B(B(H))
• A characterization of multiplicative linear functionals in Banach algebras
• Linear isometries between spaces of functions of bounded variation
• Local automorphisms and derivations on $\mathcal {B}(H)$
• 2-LOCAL ISOMETRIES OF SOME OPERATOR ALGEBRAS
• On 2-local nonlinear surjective isometries on normed spaces and C$^*$-algebras
• 2-local isometries on function spaces
• 2-Local isometries and 2-local automorphisms on uniform algebras

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