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Functional Sequence in Norm Space Cover
Open Access
|May 2021

Abstract

In this article, we formalize in Mizar [1], [2] functional sequences and basic operations on functional sequences in norm space based on [5]. In the first section, we define functional sequence in norm space. In the second section, we define pointwise convergence and prove some related theorems. In the last section we define uniform convergence and limit of functional sequence.

DOI: https://doi.org/10.2478/forma-2020-0023 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 263 - 268
Accepted on: Oct 25, 2020
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Published on: May 21, 2021
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2021 Hiroshi Yamazaki, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.