convergence of sequence and inner product as the distance function

Feb 3rd, 2012
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University of Maryland - Baltimore
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some problems dealt the convergence of sequences to their limit supremum or the limit infimum. later, the negative of the supremum is equal the infimum of the negative elements of a set. in the 2nd part of the solutions, the norm In the inner product is shown as the distance function satisfying certain properties of topology.

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