Real Normed Space

Jan Popiolek

Warsaw University, Bialystok

Supported by RPBP.III-24.C8.

Summary.

We construct a real normed space $\langle V,~\Vert.\Vert\rangle$, where $V$ is a real vector space and $\Vert.\Vert$ is a norm. Auxillary properties of the norm are proved. Next, we introduce a notion of sequence in the real normed space. The basic operations on sequences (addition, subtraction, multiplication by real number) are defined. We study some properties of sequences in the real normed space and the operations on them.

MML Identifier: NORMSP_1

Contents (PDF format)

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