In mathematics, more specifically in functional analysis, a Banach space (pronounced ˈbanax) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and is complete in the sense that a Cauchy sequence of vectors always converges to a well def...
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http://en.wikipedia.org/wiki/Banach_space
(from the article `analysis`) ...different areas of analysis all came together in a single generalization—rather, two generalizations, one more general than the other. These were ... ...developed concepts and theorems of functional analysis and integrated them into a comprehensive system. Banach himself introduced the concept of .....
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http://www.britannica.com/eb/a-z/b/14
Any complete normed vector space is a Banach space. Contexts: real analysis
Found on
http://www.econterms.com/glossary.cgi?query=Banach+space
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