Banach measure
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In mathematics, Banach measure in measure theory may mean a real-valued function on the algebra of all sets (for example, in the plane), by means of which a rigid, finitely additive area can be defined for every set, even when a set does not have a true geometric area. That is, this is a theoretical definition getting round the phenomenon of non-measurable sets. It is to be distinguished from the idea of a measure taking values in a Banach space, for example in the theory of spectral measures.
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