List questions from compact-operators

Published on 21 Sep 2020 - 14:48

172

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bounded $c_0$ sequence has weakly cauchy subsequence

Published on 26 Mar 2026 - 21:25

63

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Weakly Compact Generated spaces

Published on 22 Sep 2020 - 1:11

668

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Compact operators and orthonormal basis for separable Hilbert space

Published on 27 Sep 2020 - 16:09

206

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$T$ is self-adjoint on $L^2$ and $T^4$ is a compact operator, will $T$ be compact on $L^2?$

Published on 30 Mar 2026 - 10:40

128

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Non negative operator which is positive on a dense subset

Published on 26 Mar 2026 - 14:19

489

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Compact Integral operator?

Published on 30 Sep 2020 - 15:52

63

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For a compact set $S$ covered with a finite number of neighborhoods, why is the following inequality true?

Published on 12 Oct 2020 - 1:15

147

Views

If $A$ is self-adjoint and nonnegative then linear functional is nonnegative

Published on 26 Mar 2026 - 19:09

469

Views

Bounded operators on complex Banach space $X$ are commutative exactly when $X$ is one-dimensional?

Published on 16 Oct 2020 - 2:00

89

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Non-compactness of operator

Published on 18 Oct 2020 - 15:15

32

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Compactness/non-compactness of a linear operator

Published on 18 Oct 2020 - 16:00

212

Views

Compact operator with continuous inverse

Published on 19 Oct 2020 - 18:02

103

Views

Question about spectral theorem for compact operators

Published on 22 Oct 2020 - 11:06

847

Views

Show that two compact self-adjoint operators in Hilbert space must share at least one eigenvector [Stein Chapter 4 Exercise 35]

Published on 26 Mar 2026 - 16:05

List Question

Is the sum of a shift operator and a compact operator is invertible?

bounded $c_0$ sequence has weakly cauchy subsequence

Weakly Compact Generated spaces

Compact operators and orthonormal basis for separable Hilbert space

$T$ is self-adjoint on $L^2$ and $T^4$ is a compact operator, will $T$ be compact on $L^2?$

Non negative operator which is positive on a dense subset

Compact Integral operator?

For a compact set $S$ covered with a finite number of neighborhoods, why is the following inequality true?

If $A$ is self-adjoint and nonnegative then linear functional is nonnegative

Bounded operators on complex Banach space $X$ are commutative exactly when $X$ is one-dimensional?

Non-compactness of operator

Compactness/non-compactness of a linear operator

Compact operator with continuous inverse

Question about spectral theorem for compact operators

Show that two compact self-adjoint operators in Hilbert space must share at least one eigenvector [Stein Chapter 4 Exercise 35]

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