Characterise all bounded linear functionals on a Hilbert space.

Word Count : 252

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Bounded linear functionals on a Hilbert space play a crucial role in functional analysis, providing a powerful framework for understanding the properties of the space and its elements. Let \(H\) be a Hilbert space over the field of complex numbers \(\mathbb{C}\).

A bounded linear functional on a Hilbert space \(H\) _____________ ___ _____________ ___ ___________ _____________ ________ ____________ _____ _______ ______.
_________ _______ ____________ _________ ______ ______.
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____ _____ _____________ ____ ___________ ________ _________ _____ ______ _______ ______ __ _________ __.
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____________ ___________ ____ ______ _____ _____.
___ _________ __ ____ _____ ____________ ____________ ____ _____________.
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___ _____________ _____ __ ____ _______ ___________ ___________ _____ ___ __________ ___________ ______ __________.
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____ ______ _____________ _____________ ____________ __ ______ _________ ___ __________ ________ _______.
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___ __ ___ __________ _______ ____ __________ ______ __________ ____ ____________ __________ ____________ ____________.
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_____________ _______.
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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