Topic: Banach Space
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Answers to Common Questions
What is quasi banach spaces?
It is a vector space with a quasi norm instead of a norm. A quasi norm is a variation of a norm which follows all the norm axioms except for the triangle inequality where we have ||x+y||< or = K(||x||+||y||)for some K>1 Read More »
Source: http://wiki.answers.com/Q/What_is_quasi_banach_spaces
What is Banach space?
( ′bä′näk ′spās ) (mathematics) A real or complex vector space in which each vector has a non-negative length, or norm, and in which every Cauchy sequence converges to a point of the space. Also known as complete normed linear space. Read More »
Source: http://www.answers.com/topic/banach-space
What is reflexive Banach space?
( ri¦flek·siv ′bä′näk ′spās ) (mathematics) A Banach space B such that, for every continuous linear functional F on the conjugate space B*, there corresponds a point x0 of B such that F(ƒ) = ƒ(x0) for each element ƒ of B*. Also known as reg... Read More »
Source: http://www.answers.com/topic/reflexive-banach-space
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Banach Space
[bah-nah(n.) Vector space on which a norm is defined that is complete
Dictionary.com . See all 1 definitions »
Answers to Other Common Questions
( ′sü·pər·ri¦flek·siv ′bä′näk ′spās ) (mathematics) A Banach space, B, such that any Banach space that is finitely representable in B is a reflexive Banach space.
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Source: http://www.answers.com/topic/superreflexive-banach-space
I don't claim to understand it myself but; According to Wikipedia: http://en.wikipedia.org/wiki/Banach_spac… "In mathematics, Banach spaces (pronounced [ˈbanax]) are one of the central objects of study in functional analysis. Many of the in...
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Source: http://answers.yahoo.com/question/index?qid=20100119073617AAJkQ9b
