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Determine when operator is compact

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#banach-spaces #compact-operators
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distance it's attained on closed and finite dimensional subspaces of a Banach space

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#functional-analysis #banach-spaces
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Application of Uniform Boundedness Theorem to prove an equivalence involving sequences.

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#functional-analysis #banach-spaces
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Matrix-valued function

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#real-analysis #matrices #banach-spaces #banach-algebras
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Quotient norm and actual norm

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#calculus #real-analysis #analysis #functional-analysis #banach-spaces
157
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About measurability of operators

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#functional-analysis #operator-theory #banach-spaces
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every denting point and strongly exposed point is extreme point

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#functional-analysis #operator-theory #banach-spaces
166
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Second dual of a Grothendieck space

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#banach-spaces
169
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Prove that $|x(a)| + \max \{|x'(t)|: t \in [a,b]\}$ is a norm for a complete space

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#functional-analysis #banach-spaces #normed-spaces
637
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Compact Operators and Complete Metrics Spaces

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#functional-analysis #banach-spaces #definition #compactness #compact-operators
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Dual of the space of all convergent sequences

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#functional-analysis #banach-spaces
202
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A problem about Linear Operator

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#general-topology #functional-analysis #operator-theory #banach-spaces
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When do inner products of weakly convergent subsequences converge?

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#functional-analysis #banach-spaces #hilbert-spaces #weak-convergence
103
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Understanding a theorem from "Probability theory of Banach Spaces " book.

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#probability-theory #probability-distributions #banach-spaces
777
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Absolutely convergent sums in Banach spaces

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#real-analysis #analysis #functional-analysis #banach-spaces

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