Functional analysis
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1.functional analysis, linear space
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2.if ∃ 2 cosets [x] &[y] then either [x]=[y] or [x]∩[y]= φ
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3.find the codimension of C° in c
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4.x1,x2,...,xn∈E are linearly independent relative to E1
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5.dim(E/E1)=n ⟺ x1,...,xn are L.I relative to E1 & x=Σaixi+y,where x∈E,(a1,...,an)&(y∈E1) are unique
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6.normed space
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7.Every normed linear space is a metric space
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8
8. Infinite dimensional Normed space
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