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- W2017681621 abstract "In a recent paper [4] we considered a semigroup of linear contractions or a group of linear isometries in a normed vector space, and obtained sufficient conditions for the orbits to lie on parallel closed hyperplanes. In the present note, we take a more general viewpoint and shall prove some theorems on extension of continuous linear functionals which are invariant under a group or a semigroup of continuous linear maps on a locally convex topological vector space. These more general results include those in [4] as direct consequences." @default.
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- W2017681621 date "1977-01-01" @default.
- W2017681621 modified "2023-09-25" @default.
- W2017681621 title "Extension of invariant linear functionals" @default.
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- W2017681621 doi "https://doi.org/10.1090/s0002-9939-1977-0458111-8" @default.
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