Sung-Mo Im, Sang-Han Lee
Abstract
In [3,4,5], G. Godini introduced a normed almost linear space(nals), generalizing the concept of a normed linear space. In contrast with the case of a normed linear space, tha norm of a nals $(X, \cdot )$ does not generate a metric on X $(for x \in X \backslash V_X we have x - x \neq 0)$.
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In [3,4,5], G. Godini introduced a normed almost linear space(nals), generalizing the concept of a normed linear space. In contrast with the case of a normed linear space, tha norm of a nals $(X, \cdot )$ does not generate a metric on X $(for x \in X \backslash V_X we have x - x \neq 0)$.
Key concepts: Mathematics, Normed vector space, Normed algebra, Norm (philosophy), Dual norm, Metric space, Pure mathematics, Linear space