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15
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How does the definition of compactness imply that all continuous operators are compact in finite dimensional spaces?

Published on
#linear-algebra #functional-analysis #vector-spaces #topological-vector-spaces #compact-operators
184
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Looking for a general approach to proving compactness of linear operators.

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#functional-analysis #operator-theory #spectral-theory #compact-operators
1.4k
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Compactness of the trace operator

Published on
#sobolev-spaces #weak-convergence #compact-operators
103
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$\mathcal{A}+K$ is norm-closed where $\mathcal{A}$ is a $C^*$-algebra and $K$ is the compact operators.

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#functional-analysis #operator-theory #operator-algebras #compact-operators
90
Views

C*-algebraic intrinsic definition for compactness of an operator?

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#operator-theory #operator-algebras #c-star-algebras #compact-operators
81
Views

Prove compactness of an operator.

Published on
#functional-analysis #compact-operators
670
Views

$T$ is a compact operator but not a finite rank operator

Published on
#functional-analysis #compact-operators
40
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Functional Analysis, infimum of $A+K$ where $K\in K(X)$

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#functional-analysis #compact-operators
564
Views

Are Hilbert-Schmidt operators in non-separable Hilbert spaces compact?

Published on
#hilbert-spaces #compact-operators
118
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Strong convergence due to Compact Operator

Published on
#functional-analysis #lp-spaces #compact-operators
3.8k
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T compact if and only if $T^*T$ is compact.

Published on
#functional-analysis #compact-operators #adjoint-operators
71
Views

Prove the following are equivalent.

Published on
#functional-analysis #hilbert-spaces #compact-operators
324
Views

Compactness of a certain Integral Operator on $L^2$

Published on
#functional-analysis #compact-operators
93
Views

Measure of non-compactness

Published on
#analysis #functional-analysis #measure-theory #compactness #compact-operators
234
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Eigenvalues of an integral operator

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#operator-theory #lebesgue-integral #spectral-theory #compact-operators #unbounded-operators

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