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15
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Show that there is an operator on $H^{2}$ and it's compact.

Published on
#functional-analysis #sobolev-spaces #compact-operators #laplacian
600
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Spectrum of an unbounded operator

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#functional-analysis #operator-theory #hilbert-spaces #compact-operators #eigenfunctions
593
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The Hilbert-Schmidt Theorem for Compact, Self-adjoint operators

Published on
#spectral-theory #compact-operators
210
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Hilbert space .....

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#functional-analysis #operator-theory #compact-operators
225
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Singular integral operator

Published on
#functional-analysis #distribution-theory #compact-operators #singular-integrals
2k
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Problem about a compact operator $T:l^p\rightarrow l^p$

Published on
#functional-analysis #lp-spaces #compact-operators
421
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Showing a C* Algebra contains a compact operator

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#functional-analysis #operator-theory #hilbert-spaces #c-star-algebras #compact-operators
115
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A question on Bounded Approximation property

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#functional-analysis #operator-theory #compact-operators
343
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Proving a linear operator is compact: understanding the statement "norm limit of a sequence of finite rank operators".

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#functional-analysis #compact-operators
93
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What role does the range of an operator play in showing the operator is compact?

Published on
#functional-analysis #compact-operators
243
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Operator $f \mapsto u(f)$ solution of non-homogeneous Laplace equation is compact and self-adjoint

Published on
#real-analysis #partial-differential-equations #operator-theory #compact-operators #adjoint-operators
563
Views

Why is $\ker(T-\lambda I)^n$ finite-dimensional?

Published on
#functional-analysis #normed-spaces #compact-operators
130
Views

Is the shift operator on square integrable periodic functions compact?

Published on
#functional-analysis #compact-operators
1.5k
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Determine whether the differential operator is compact in the following cases

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#functional-analysis #analysis #operator-theory #compactness #compact-operators
218
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How to show $\sigma(T_q) = \overline{\{q(t) : t \in [0,1]\}}$ where $T_q$ is the multiplication operator?

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#functional-analysis #operator-theory #banach-spaces #compact-operators

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