Banach Space
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A Banach space is a vector space that has a complete norm. Banach spaces are important in the study of infinite-dimensional vector spaces.
Banach space is a college-level concept that would be first encountered in an analysis course covering functional analysis.
Prerequisites
| Norm: | A norm is a quantity that describes the length, size, or extent of a mathematical object. |
| Vector Space: | A vector space is a set that is closed under finite vector addition and scalar multiplication. The basic example is n-dimensional Euclidean space. |