Continuous-Like Linear Operators on Bilinear Spaces
| Main Authors: | Sabarinsyah, Sabarinsyah; Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Ganesha No. 10 Bandung 40132, Garminia, Hanni; Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Ganesha No. 10 Bandung 40132, Astuti, Pudji; Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Ganesha No. 10 Bandung 40132 |
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| Other Authors: | Program Penelitian, Pengabdian kepada Masyarakat dan Inovasi of Institut Teknologi Bandung |
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
Institute for Research and Community Services (LPPM) ITB
, 2020
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| Subjects: | |
| Online Access: |
http://journals.itb.ac.id/index.php/jmfs/article/view/10246 http://journals.itb.ac.id/index.php/jmfs/article/view/10246/4893 http://journals.itb.ac.id/index.php/jmfs/article/downloadSuppFile/10246/3099 |
Daftar Isi:
- This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to the operator being continuous. In this paper, this result is extended to the class of linear operators on bilinear spaces. It is shown that the existence of the adjoint of a linear operator on a bilinear space is guaranteed if and only if the operator is continuous-like.