Linear Isometries of Spaces of Absolutely Continuous Functions

DOI10.4153/CJM-1982-019-7zbMath0464.46029OpenAlexW2332496694MaRDI QIDQ3915475

Vijay D. Pathak

Publication date: 1982

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

Full work available at URL: https://doi.org/10.4153/cjm-1982-019-7

zbMATH Keywords

isometric isomorphismweak variationspace of absolutely continuous functions

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (15)

Linear isometries between spaces of functions of bounded variation ⋮ A note on generalized tricircular projections on spaces of bounded variation functions ⋮ Isometries and approximate local isometries between \(\mathrm{AC}^p (X)\)-spaces ⋮ Local isometries on subspaces of continuous functions ⋮ 2-local isometries on vector-valued differentiable functions ⋮ 2-local isometries between spaces of functions of bounded variation ⋮ Linear isometries between subspaces of continuous functions ⋮ Isometries in Semisimple, Commutative Banach Algebras ⋮ Isometries of the Disc Algebra ⋮ Isometries on spaces of absolutely continuous vector-valued functions ⋮ A Note on Hermitian Operators on Function Spaces ⋮ Approximate local isometries on spaces of absolutely continuous functions ⋮ Projections in the convex hull of two isometries of absolutely continuous function spaces ⋮ Projections In the convex hull of three isometries on absolutely continuous function spaces ⋮ Isometries Between Function Spaces

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