A Banach space is a normed vector space \((V,\norm{\cdot})\) over \(\RR\) or \(\CC\) that is complete as a metric space with the metric \(d(x,y)\coloneqq\norm{x-y}\).
Banach space
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A Banach space is a normed vector space \((V,\norm{\cdot})\) over \(\RR\) or \(\CC\) that is complete as a metric space with the metric \(d(x,y)\coloneqq\norm{x-y}\).