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- W2037233431 abstract "In this paper, the concept of equimodular is introduced. It contains several generalizations of Mazur–Ulam's isometric theorem in modular spaces. Let X and Y be two real modular spaces and X with δ1-midpoint shrinking whose modular ρX satisfies the Δ2-condition. Assume that an operator T maps X onto Y in an δ2-{ti}-equimodular manner for all i∈{0}∪N, where {ti} is a null-sequence of nonnegative reals with the property that t0=1, t1⩾1/2, and ti⩽ti−1⩽2ti for i⩾2. Then T is affine." @default.
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- W2037233431 date "2003-09-01" @default.
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- W2037233431 title "Equimodular and linearity in modular spaces" @default.
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- W2037233431 doi "https://doi.org/10.1016/s0022-247x(03)00389-5" @default.
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