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Check whether a finite dimensional normed linear space is reflexive? J

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Check whether a finite dimensional normed linear space is reflexive? Justify your answer.


Posted on : 2023-12-02 21:28:57 | Author : IGNOU Academy | View : 57

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A normed linear space is said to be reflexive if its dual space is isomorphic to itself. In the context of finite-dimensional normed linear spaces, determining reflexivity is relatively straightforward.

Consider a finite-dimensional normed linear space \(X\) of dimension \(n\). The dual space \(X^*\) is the space of all linear functionals from \(X\) to the underlying field (typically \(\mathbb{R}\) __________ __________ ______ _____________ _______ ________.
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Degree : MASTER DEGREE PROGRAMMES
Course Name : M.Sc. Mathematics with Applications in Computer Science
Course Code : MSCMACS
Subject Name : Functional Analysis
Subject Code : MMT 6
Year : 2023



IGNOU MMT 6 Solved Assignment 2023
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