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    Problem. If is a bounded sequence in an inner product space, and is a sequence converging to zero, prove that . Note, here < , > is the inner product notation. Hint: Use triangle inequality.

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    Problem: If is a bounded sequence in an inner product space, and is a sequence converging to zero, prove that (see attachment).

    Note, here < , > is the inner product notation. Hint: Use triangle inequality.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:38 pm ad1c9bdddf
    https://brainmass.com/math/algebra/inner-product-space-convergence-33417

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    This solution is comprised of a detailed explanation to prove an inner product space.

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