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The space of functions on the real interval

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Reference no: EM13655763

Which of the following subsets of w are linear subspaces of C[0,1] where C[0,1] is the space of functions on the real interval [0,1]? Justify your answer.

1)W={f∈C[0,1]|f(0)=f(1)}

2)W={f∈C[0,1]|f(0)=0 and f(1)=0}

3)W={f∈C[0,1]|f(0)=0 or f(1)=0}

4)W={f∈C[0,1]|f is non decreasing}

Reference no: EM13655763

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