Published Online: May 16, 2019
Page range: 35 - 45
Accepted: Feb 27, 2019
DOI: https://doi.org/10.2478/forma-2019-0004
Keywords
© 2019 Kazuhisa Nakasho, published by Sciendo
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.
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.