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Pudji Astuti
Algebra Research Division, Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung, Bandung 40132
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Riesz Representation Theorem on Bilinear Spaces of Truncated Laurent Series Sabarinsyah Sabarinsyah; Hanni Garminia; Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 49 No. 1 (2017)
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.2017.49.1.3

Abstract

In this study a generalization of the Riesz representation theorem on non-degenerate bilinear spaces, particularly on spaces of truncated Laurent series, was developed. It was shown that any linear functional on a non-degenerate bilinear space is representable by a unique element of the space if and only if its kernel is closed. Moreover an explicit equivalent condition can be identified for the closedness property of the kernel when the bilinear space is a space of truncated Laurent series.
Co-Authors Hanni Garminia Sabarinsyah, Sabarinsyah