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Continuity of multiplication of operators in the strong operator topology - find an error

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#functional-analysis #operator-theory #banach-spaces
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A question about equivalence of norms involving infimum

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#functional-analysis #hilbert-spaces #banach-spaces
586
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The norm of linear functional $x\mapsto \sum_{n=1}^{\infty} \frac{x_n}{2^n}$ on $c_0$

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#functional-analysis #banach-spaces
215
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Proving that a space is complete

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#calculus #real-analysis #vector-spaces #hilbert-spaces #banach-spaces
685
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Bessel potential space: Proof of completeness

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#hilbert-spaces #banach-spaces #sobolev-spaces
647
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What are some easy to understand applications of Banach Contraction Principle?

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#calculus #functional-analysis #banach-spaces #self-learning #examples-counterexamples
298
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Equivalent definition of uniform convexity

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#functional-analysis #banach-spaces
189
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Norm of a product of projections in a Banach space

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#operator-theory #banach-spaces
496
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Do we need completeness for a weak*-convergent sequence to be bounded?

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#functional-analysis #banach-spaces #weak-convergence
85
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Summability: Equivalence

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#real-analysis #functional-analysis #banach-spaces
271
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Uniform Boundedness: Nets

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#functional-analysis #operator-theory #banach-spaces
146
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Fixed-point analysis similar to Banach Fixed Point Thm

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#real-analysis #functional-analysis #banach-spaces #fixed-point-theorems
509
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When weakly compactness implies compactness?

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#functional-analysis #banach-spaces #normed-spaces #topological-vector-spaces
62
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Convergence of sequence as $O(1/n)$ using damped iterations

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#real-analysis #functional-analysis #optimization #banach-spaces #fixed-point-theorems
155
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Please give me an example of closed subspace of banach space under some conditions

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#functional-analysis #banach-spaces

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