What does banach space mean?
Definitions for banach space
ba·nach space
This dictionary definitions page includes all the possible meanings, example usage and translations of the word banach space.
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Wiktionary
Banach spacenoun
A normed vector space which is complete, in the sense that Cauchy sequences converge
Wikidata
Banach space
In mathematics, more specifically in functional analysis, a Banach space is a complete normed vector space. Informally, 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 defined limit in the space. Banach spaces are named after the Polish mathematician Stefan Banach, who introduced and made a systematic study of them in 1920–1922 along with Hans Hahn and Eduard Helly. Banach spaces originally grew out of the study of function spaces by Hilbert, Fréchet, and Riesz earlier in the century. Banach spaces play a central role in functional analysis. In other areas of analysis, the spaces under study are often Banach spaces.
Numerology
Chaldean Numerology
The numerical value of banach space in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of banach space in Pythagorean Numerology is: 1
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"banach space." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/banach+space>.
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