A new characterization of the dual space of the HK-integrable functions
Copyright policy )A new characterization of the dual space of the HK-integrable functions
<abstract><p>We construct the Henstock-Kurzweil (HK) integral as an extension of a linear form initially defined on $ L^{1} $, but which is not continuous in this space. This gives us an alternative way to prove existing results. In particular, we give a new characterization of the dual space of Henstock-Kurzweil integrable functions in terms of a quotient space.</p></abstract>
Theory of Banach Spaces and Operators, Statistics and Probability, Space (punctuation), Dual space, QA1-939, FOS: Mathematics, Complex Analysis and Operator Theory, Mathematical Physics, Integrable system, Algebra over a field, banach dual space, Applied Mathematics, Dual (grammatical number), Physics, henstock-kurzweil integral, Statistical Convergence in Approximation Theory and Functional Analysis, Pure mathematics, Optics, Computer science, Operating system, Lipschitz Functions, Literature, Physical Sciences, Mathematics, Characterization (materials science), Art
Theory of Banach Spaces and Operators, Statistics and Probability, Space (punctuation), Dual space, QA1-939, FOS: Mathematics, Complex Analysis and Operator Theory, Mathematical Physics, Integrable system, Algebra over a field, banach dual space, Applied Mathematics, Dual (grammatical number), Physics, henstock-kurzweil integral, Statistical Convergence in Approximation Theory and Functional Analysis, Pure mathematics, Optics, Computer science, Operating system, Lipschitz Functions, Literature, Physical Sciences, Mathematics, Characterization (materials science), Art
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