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Example of a bounded linear operator on $L^2([0,1])$ that is not compact

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#functional-analysis #hilbert-spaces #compact-operators
261
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Unitary equivalence of compact operators

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#operator-theory #operator-algebras #compact-operators
328
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Alternative Proof for a Lemma in Barry Simon's "Operator Theory"

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#functional-analysis #operator-theory #hilbert-spaces #compact-operators
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Composition of bounded operator and compact operators

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#functional-analysis #operator-theory #hilbert-spaces #compact-operators
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Compact operator on a Hilbert space

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#functional-analysis #hilbert-spaces #compact-operators
57
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One problem with proving that $K(H)'=\{cI\}$

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#functional-analysis #hilbert-spaces #compact-operators #von-neumann-algebras
418
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Regarding the eigenvalues of a symmetric, non-negative bounded linear operator with finite trace on a separable Hilbert space: are eigenvalues unique?

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#functional-analysis #operator-theory #trace #compact-operators
170
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Solution to operator equation in Hilbert space

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#functional-analysis #hilbert-spaces #compact-operators
188
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Is this integral operator on $L_2(0, \infty)$ compact?

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#functional-analysis #operator-theory #compact-operators #integral-operators
169
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Question on Theorem for Spectral Theory for Compact and Self-Adjoint operators

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#operator-theory #hilbert-spaces #spectral-theory #compact-operators
110
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Exercise: Show an operator in Hlbert space is compact

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#operator-theory #hilbert-spaces #compact-operators
337
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Counterexample: Sequence of compact operators in Hilbert space which does not converge to a compact operator

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#functional-analysis #convergence-divergence #hilbert-spaces #compact-operators
536
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Is the subset of a relatively compact set relatively compact?

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#real-analysis #compactness #compact-operators
23
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Can we sure that a bounded linear operator is compact just having a condition on the range?

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#functional-analysis #banach-spaces #compact-operators
452
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The inverse of a compact and self-adjoint operator in Hilbert space is bounded

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#functional-analysis #hilbert-spaces #spectral-theory #compact-operators #adjoint-operators

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