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Pudji Astuti
Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Ganesha No. 10 Bandung 40132
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Continuous-Like Linear Operators on Bilinear Spaces Sabarinsyah Sabarinsyah; Hanni Garminia; Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 2 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.2.8

Abstract

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.
Co-Authors Hanni Garminia Sabarinsyah, Sabarinsyah