Abstract | ||
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In the first chapter, the notion of multilinear operator on real linear spaces is discussed. The algebraic structure [2] of multilinear operators is introduced here. In the second chapter, the results of the first chapter are extended to the case of the normed spaces. This chapter shows that bounded multilinear operators on normed linear spaces constitute the algebraic structure. We referred to [3], [7], [5], [6] in this formalization. |
Year | DOI | Venue |
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2019 | 10.2478/forma-2019-0004 | FORMALIZED MATHEMATICS |
Keywords | Field | DocType |
Lipschitz continuity,bounded linear operators,bilinear operators,algebraic structure,Banach space | Discrete mathematics,Algebra,Algebraic structure,Banach space,Lipschitz continuity,Operator (computer programming),Multilinear map,Mathematics | Journal |
Volume | Issue | ISSN |
27 | 1 | 1898-9934 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Kazuhisa Nakasho | 1 | 7 | 8.59 |