List questions from compact-operators

Published on 12 Apr 2020 - 8:02

124

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Exercise on eigenvalues of an Hilbert-Schimdt operator

Published on 26 Mar 2026 - 12:33

54

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The spectrum of $S$ is a countable set?

Published on 13 Apr 2020 - 11:18

68

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singular values of infinite direct sum of operators

Published on 14 Apr 2020 - 20:44

123

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About proof of 8.3-5 in Kreyszig's Functional Analysis

Published on 19 Apr 2020 - 6:31

40

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Calculating a dimension of a kernel of a semi-Fredholm composition operator

Published on 20 Apr 2020 - 23:55

143

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If $\dim H=\infty$, does there always exist a positive compact operator $T$ with infinite rank and $\|T\|\leq1$?

Published on 24 Apr 2020 - 11:03

146

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Why is this representation of $C^*\!$-algebras irreducible?

Published on 26 Apr 2020 - 12:02

85

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Prove lim$_{n \rightarrow \infty}c_n=0$

Published on 28 Apr 2020 - 10:16

108

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Eigenvalues of an infinite block upper triangular matrix

Published on 24 Mar 2026 - 15:03

242

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Every *-isometric isomorphism of $B(\mathcal{H})$ keep compact operators?

Published on 02 May 2020 - 10:21

35

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$\text{Image}(I−K)(V) = \{x−Kx; x \in V \text{closed} \}$ is a closed subspace of hilbert space $H$.

Published on 02 May 2020 - 20:48

34

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If $A=\sum_{i\in I}\lambda_ie_i\otimes e_i$ is compact, self-adjoint and nonnegative, then $\left\|A\right\|=\lambda_1$

Published on 03 May 2020 - 7:03

218

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Example for a polynomially compact operator

Published on 03 May 2020 - 17:30

48

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Is it possible to find a basis for a non-compact operator?

Published on 04 May 2020 - 13:54

List Question

Show that $T$ is compact if and only if $\lim_{n \rightarrow \infty} |\alpha_n|=0$

Exercise on eigenvalues of an Hilbert-Schimdt operator

The spectrum of $S$ is a countable set?

singular values of infinite direct sum of operators

About proof of 8.3-5 in Kreyszig's Functional Analysis

Calculating a dimension of a kernel of a semi-Fredholm composition operator

If $\dim H=\infty$, does there always exist a positive compact operator $T$ with infinite rank and $\|T\|\leq1$?

Why is this representation of $C^*\!$-algebras irreducible?

Prove lim$_{n \rightarrow \infty}c_n=0$

Eigenvalues of an infinite block upper triangular matrix

Every *-isometric isomorphism of $B(\mathcal{H})$ keep compact operators?

$\text{Image}(I−K)(V) = \{x−Kx; x \in V \text{closed} \}$ is a closed subspace of hilbert space $H$.

If $A=\sum_{i\in I}\lambda_ie_i\otimes e_i$ is compact, self-adjoint and nonnegative, then $\left\|A\right\|=\lambda_1$

Example for a polynomially compact operator

Is it possible to find a basis for a non-compact operator?

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