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a Let I be a normed space, , I in its olual. Let Flixe I}, where ? I' 1Rt defried = I: by ? (1) 1fxl to It show the foll
Posted: Thu May 12, 2022 10:44 am
by answerhappygod
- A Let I Be A Normed Space I In Its Olual Let Flixe I Where I 1rt Defried I By 1 1fxl To It Show The Foll 1 (39.56 KiB) Viewed 20 times
a Let I be a normed space, , I in its olual. Let Flixe I}, where ? I' 1Rt defried = I: by ? (1) 1fxl to It show the following: () { is a semi-norm, tu cach xt] (ii) the family & separakes the ponts of I. (ii) / v(x.P.PE), ££ pt 5, 21, m, 6? is a base for a topology on It (denoked by 6(857)) (iv) The topology o(II) 6 (*) on Homsdorff (1) The mapping (6) fg and (aflat are o(1 I) - Continuous That is (1) 4 (1,2)) is a linent topological space (wid.' (375(873)) is bolally convex space.