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15
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Compact operator in $L^2(0,2\pi)$

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#analysis #operator-theory #compactness #compact-operators #adjoint-operators
122
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Example of a compact operator that is not uniformly continuous. [Solved]

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#functional-analysis #banach-spaces #examples-counterexamples #uniform-continuity #compact-operators
177
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An estimate on the trace norm of a product of operators

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#functional-analysis #operator-theory #trace #compact-operators #holder-inequality
80
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Is the following operator positive?

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#functional-analysis #analysis #operator-theory #compact-operators #positive-matrices
104
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Identity operator on a Hilbert B-module is compact if and only if it is a linear combination of finitely many rank-one operators.

Published on
#functional-analysis #compact-operators #hilbert-modules
75
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Hilbert-Schmidt Operators on Banach spaces

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#functional-analysis #operator-theory #banach-spaces #spectral-theory #compact-operators
103
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Does the image of a weak-* convergent sequence under a compact operator converge strongly?

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#banach-spaces #compact-operators #dual-spaces #weak-topology
38
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Let $Y$ be an NLS, $Y'$ its dual space, $K \subset Y$ a compact subset. Show that the restriction $I_K: Y' \to C(K)$ is a compact operator

Published on
#functional-analysis #banach-spaces #compact-operators
51
Views

Why is a *-surjective homomorphism between algebras of compact operators an irreducible representation?

Published on
#functional-analysis #c-star-algebras #compact-operators
92
Views

How to find the spectral radius of a compact operator $T$

Published on
#functional-analysis #compact-operators #spectral-radius
36
Views

Prove that a space is compactly embedded in $l^2$

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#functional-analysis #solution-verification #spectral-theory #compact-operators
37
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Compactness of the trace operator, with explicit constant

Published on
#hilbert-spaces #sobolev-spaces #trace #compact-operators #fractional-sobolev-spaces
30
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Does the image of a bounded sequence in a NLS under a compact operator have a convergent subsequence or merely a Cauchy subsequence?

Published on
#banach-spaces #compact-operators
196
Views

Compactness of the convolution integral operator

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#functional-analysis #operator-theory #compact-operators #integral-operators
52
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Comparison eigenvalues of three compact operators

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#eigenvalues-eigenvectors #compact-operators

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