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Product of compact, bounded and self adjoint operator.

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#functional-analysis #compact-operators #adjoint-operators
144
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Prove an operator is compact and classify the spectral values

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#functional-analysis #compact-operators
770
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What is the intuition/motivation behind compact linear operator.

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#compact-operators
703
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Convergence in strong operator topology and norm topology

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#operator-theory #c-star-algebras #compact-operators
2.5k
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Definition of a compact operator

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#functional-analysis #soft-question #compact-operators
274
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Diagonal non-compact operator

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#functional-analysis #hilbert-spaces #compact-operators
68
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Compact operators and functions

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#functional-analysis #compact-operators
432
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Counter-examples of direct sum of compact operators on Banach spaces is compact

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#functional-analysis #compact-operators
717
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Powers of compact operators

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#functional-analysis #operator-theory #hilbert-spaces #compact-operators
2.3k
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Is there an example of a non compact operator whose square is compact?

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#functional-analysis #compactness #compact-operators
448
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functional analysis. Compact operator. Hilbert-Schmidt theorem.

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#functional-analysis #compact-operators
597
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Find eigenfunctions of the integral operator with kernel $\sum\limits_{n=1}^\infty \frac{1}{n^2} \sin((n+1)x)\sin(ny)$

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#functional-analysis #operator-theory #compact-operators #eigenfunctions #differential-operators
231
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Adjoint of canonical expansion of compact operator

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#functional-analysis #compact-operators
268
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Show that $\{ x_n \} \overset{T}{\mapsto} \{ \sum_{k=1}^{\infty} a_{nk} x_k \}$ is compact

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#functional-analysis #hilbert-spaces #compact-operators
646
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Show that $f \overset{T}{\rightarrow} \frac{1}{x} \int_0^x f(t) dt$ is Bounded, and is NOT Compact in $L^2(0, \infty)$

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#functional-analysis #compact-operators

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