Differentiability Properties of Lipschitzian Bilinear Operators in Real Normed Spaces
By: Kazuhisa Nakasho
and Yasunari Shidama
and Yasunari Shidama Abstract
This article is devoted to the Mizar formalization of various properties of differentiability of Lipschitzian bilinear operators in real normed spaces. Main results include the Lipschitz continuity of partial derivatives, the representation of the total derivative in terms of partial derivatives, and the continuous differentiability of Lipschitzian bilinear operators on open subsets of the product space.
Language: English
Page range: 165 - 172
Accepted on: Dec 9, 2024
Published on: Dec 31, 2024
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2024 Kazuhisa Nakasho, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.