Check whether the identity map on an infinite dimensional space is compact.

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Functional analysis is all about studying infinite-dimensional spaces and the maps between them, so this question is right up its alley. In the realm of functional analysis, the identity map on an infinite-dimensional space is a classic case to consider.

Let's delve into it. In functional analysis, a map is considered compact if it maps bounded sets to relatively compact sets. Now, when we _____________ _____________ __ _____________ __________ ____ ____ _____ ___________.
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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