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normed linear space

   Also found in: Wikipedia 0.01 sec.
normed linear space [′nȯrmd ′lin·ē·ər ′spās]
(mathematics)
A vector space which has a norm defined on it. Also known as normed vector space.


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The first seven chapters cover the usual topics of point-set or general topology, including topological spaces, new spaces from old ones, connectedness, the separation and countability axioms, and metrizability and paracompactness, as well as special topics such as contraction mapping in metric spaces, normed linear spaces, the Frechet derivative, manifolds, fractals, compactifications, the Alexander subbase, and the Tychonoff theorems.
We define the spaces of continuous functions [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] with the norm [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] One can easily see that these are normed linear spaces and [C.
 
 
 
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