List questions from compact-operators

Published on 21 Mar 2026 - 20:04

93

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The space $D(A^\infty)$

Published on 21 Mar 2026 - 21:47

231

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Weakly sequentially continuous maps

Published on 22 Mar 2026 - 9:33

829

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Operator in Hilbert space and its inverse

Published on 21 Mar 2026 - 16:09

350

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Operators with infinite rank and kernel

Published on 19 Mar 2026 - 21:33

158

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$AB$ is compact iff $BA$ is

Published on 21 Mar 2026 - 14:41

140

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Does this imply compactness

Published on 22 Mar 2026 - 10:31

112

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Existence of $v$,$\lvert\lvert v \rvert\rvert = 1$, such that $\langle Tv, Tv \rangle = \lvert\lvert T \rvert \rvert^2$

Published on 22 Mar 2026 - 9:45

40

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Is $\lim_{n\to \infty} L {\varphi_n} = L \lim_{n\to \infty} {\varphi_n}$ for $L=I-A$ where $A$ is compact?

Published on 22 Mar 2026 - 9:45

80

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Is it possible to construct a compact operator $A$ such that all polynomials of degree $1$ are in the nullspace of $I-A$?

Published on 22 Mar 2026 - 8:30

186

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Some properties of linear and compact operators

Published on 22 Mar 2026 - 15:13

148

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Showing that $\inf_{\|x\|=1}\langle Tx,x\rangle$ and $\sup_{\|x\|=1}\langle Tx,x\rangle$ are eigenvalues of $T$ (in particular when they are $0$)

Published on 25 Mar 2026 - 5:44

134

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Conditions under which a compact operator with finite-dimensional domain has a finite rank

Published on 25 Mar 2026 - 6:05

83

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Why are we interested in determining the spectrum?

Published on 22 Mar 2026 - 12:07

75

Views

Composition of regularized inverse of linear operator on dense subspace converges on whole space?

Published on 19 Mar 2026 - 15:50

List Question

Cuntz-Krieger algebra as crossed product

The space $D(A^\infty)$

Weakly sequentially continuous maps

Operator in Hilbert space and its inverse

Operators with infinite rank and kernel

$AB$ is compact iff $BA$ is

Does this imply compactness

Existence of $v$,$\lvert\lvert v \rvert\rvert = 1$, such that $\langle Tv, Tv \rangle = \lvert\lvert T \rvert \rvert^2$

Is $\lim_{n\to \infty} L {\varphi_n} = L \lim_{n\to \infty} {\varphi_n}$ for $L=I-A$ where $A$ is compact?

Is it possible to construct a compact operator $A$ such that all polynomials of degree $1$ are in the nullspace of $I-A$?

Some properties of linear and compact operators

Showing that $\inf_{\|x\|=1}\langle Tx,x\rangle$ and $\sup_{\|x\|=1}\langle Tx,x\rangle$ are eigenvalues of $T$ (in particular when they are $0$)

Conditions under which a compact operator with finite-dimensional domain has a finite rank

Why are we interested in determining the spectrum?

Composition of regularized inverse of linear operator on dense subspace converges on whole space?

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