Name
Abstract | ||
|---|---|---|
In this article, various definitions of contuity of multilinear operators on normed linear spaces are discussed in the Mizar formalism [4], [1] and [2]. In the first chapter, several basic theorems are prepared to handle the norm of the multilinear operator, and then it is formalized that the linear space of bounded multilinear operators is a complete Banach space. In the last chapter, the continuity of the multilinear operator on finite normed spaces is addressed. Especially, it is formalized that the continuity at the origin can be extended to the continuity at every point in its whole domain. We referred to [5], [11], [8], [9] in this formalization. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.2478/forma-2019-0006 | FORMALIZED MATHEMATICS |
Keywords | Field | DocType |
Lipschitz continuity,bounded linear operators,multilinear operators,Banach space | Discrete mathematics,Banach space,Pure mathematics,Lipschitz continuity,Operator (computer programming),Multilinear map,Mathematics | Journal |
Volume | Issue | ISSN |
27 | 1 | 1898-9934 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kazuhisa Nakasho | 1 | 7 | 8.59 |
| Yasunari Shidama | 2 | 166 | 72.47 |