Recent content by irmctn

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    Proof of the collections of sequences are linear spaces or vector space.

    theorem(***) is the norm properties (i)lxl>=0; (ii)lxl=0 iff x=0 (iii)lcxl=lcl lxl (iv)l lxl-lyl l<=lx+-yl<=lxl+lylmy problem is i dont`n know how i can explain these properties for a sequence, for example m is collection of all bounded sequences, c is collection of all convergent sequences how...
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    Proof of the collections of sequences are linear spaces or vector space.

    in theorem(**) there are properties about vector space A1) x+y=y+x A2)(x+y)+z=x+(y+z) A3)0+x=x and x+0=x A4) u=(-1)x satisfies x+u=0 M1)1x=x M2)b(cx)=(bc)x D)c(x+y)=cx+cy and (b+c)x=bx+cx
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    Proof of the collections of sequences are linear spaces or vector space.

    my project
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    Proof of the collections of sequences are linear spaces or vector space.

    [b]1. Homework Statement [/b Let's s denote the collection of all sequences in lR, let m denote the collection of all bounded sequences in lR, let c denote the collection of all convergent sequences in lR, and let Co denote the collection of all sequences...