Isometries and almost isometries between spaces of continuous functions

DOI10.1007/BF02766121zbMath0637.46027MaRDI QIDQ1099038

Gun-Marie Lövblom

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

extensioncompact metric spacesalmost isometryisometries from C(X) into C(Y)

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (7)

Stability of \(\varepsilon\)-isometric embeddings into Banach spaces of continuous functions ⋮ Almost isometries on the unit ball of \(\ell _ 1\) ⋮ On phase-isometries between the positive cones of continuous function spaces ⋮ Hyers-Ulam stability of isometries and non-expansive maps between spaces of continuous functions ⋮ Isometric embeddings of compact spaces into Banach spaces ⋮ A note on the stability of isometries on the positive cones of continuous function spaces ⋮ Almost isometries of balls

Cites Work

• Unnamed Item
• Small into isomorphism on \(L_ p \)spaces
• Classical Banach spaces
• Small Into-Isomorphisms Between Spaces of Continuous Functions

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