# Answer on Functional Analysis Question for kashi

Question #41325

Let X be the set of all real-valued functions x on the interval [0,1],

and let x≦y mean that x(t) ≦y(t) for all t∈[0,1]. Show that this

defines a partial ordering. Is it a total ordering? Does X have maximal

elements?

and let x≦y mean that x(t) ≦y(t) for all t∈[0,1]. Show that this

defines a partial ordering. Is it a total ordering? Does X have maximal

elements?

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