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If V = U ? U? and V = W ? W?, and if S1: U...

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Advance Math

If V = U ? U? and V = W ? W?, and ifS1: U ? W and S2: U? ?W? are isometries, then the linear operator defined foru1 ? U and u2 ? U? by the formulaS(u1 + u2) = S1u1 +S2u2 is a well-defined linear isometry. Provethis.

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