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A NOTE ON THE EXTENSION OF ε-ISOMETRIES ON THE UNIT SPHERE OF BANACH SPACES
Minanur Rohman,Ilker Eryılmaz 호남수학회 2024 호남수학학술지 Vol.46 No.1
Let X, Y be Banach spaces, SX and SY be the unit sphere of X and Y , respectively. Let f0 : SX → SY be ε-isometry for some ε ≥ 0. In this paper, we show that there is an extension f : X → Y of f0 such that f is linear