Let Y A : X0 ⊆ X → be a closed operator where X and Y are Banach spaces. Define x x Ax , x X . A = + ∈ 0 Then show that the norm A ⋅ is complete.

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To show that the normed space \( (Y^A, \| \cdot \|_A) \) is complete, where \( Y^A \) is the space of equivalence classes of Cauchy sequences in \( Y \) with respect to the graph norm \( \| \cdot \|_A \), we need to demonstrate that every Cauchy sequence in \( Y^A \) converges to ____________ ____ ___ ___ _________ _______.
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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