On some n-normed sequence spacesReport as inadecuate

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Mathematical Sciences

, 6:56

First Online: 24 October 2012Received: 16 September 2012Accepted: 09 October 2012


In this paper, we introduce the idea of constructing sequence spaces withelements in an n-norm space in comparison with the spacesc0, c, ℓ∞and the Orlicz space ℓMand extend the notion of n-norm to such spaces. Further westate and define some statements about the n-best approximation inn-normed spaces.

Keywordsn-Norm Locally convex space n-orthogonality Orlicz function n-best approximation  Download fulltext PDF

Author: Hemen Dutta - Hamid Mazaheri

Source: https://link.springer.com/

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