Open AccessRiesz Representation Theorem on Bilinear Spaces of Truncated Laurent Series
Author(s) -
Sabarinsyah Sabarinsyah,
Hanni Garminia,
Pudji Astuti
Publication year - 2017
Publication title -
journal of mathematical and fundamental sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.216
H-Index - 12
eISSN - 2337-5760
pISSN - 2338-5510
DOI - 10.5614/j.math.fund.sci.2017.49.1.3
Subject(s) - mathematics , riesz representation theorem , laurent series , m. riesz extension theorem , bilinear interpolation , series (stratigraphy) , riesz potential , pure mathematics , representation (politics) , riesz transform , mathematical analysis , statistics , paleontology , biology , politics , political science , law
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 identied for the closedness property of the kernel when the bilinear space is a space of truncated Laurent series
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