normed vector space


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normed vector space

[′nȯrmd ′vek·tər ′spās]
(mathematics)
References in periodicals archive ?
n[member of]N] of positive numbers, D(X,M) is a normed vector space.
l[member of]N] in a normed vector space V is called a Cauchy sequence, if for every [epsilon] > 0 there exists L [member of] N such that for all integers l, m > L, we have [parallel][w.
The normed vector space (7) is a Banach space that has unconditional Schauder bases such as [{[[upsilon].
7)) Let f: E [right arrow] E' be a mapping from a normed vector space E into a Banach space E' subject to the inequality
Let f: X [right arrow] or [vector] X' be a mapping from a normed vector space X into a Banach space X' subject to the inequality
He emphasizes vector spaces over general fields and provides corresponding current applications while covering fields and matrix algebra, vector spaces, linear transformations, the Jordan canonical form, inner product and normed vector spaces, constructing new vector spaces from given ones, the many uses of linear algebra, and many other subjects over the bookAEs seven chapters.
For simplicity, let us consider a positive integer [alpha] and [alpha] normed vector spaces [E.
His topics include lengths of paths in metric spaces, maps between metric spaces, convexity in vector spaces, strictly convex normed vector spaces, asymptotic rays and the visual boundary, and isometries.