List questions from operator-theory

Published on 26 Mar 2026 - 4:30

491

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Surjectivity of Compact Operators on an Infinite Dimensional Vector Space

Published on 26 Mar 2026 - 4:30

91

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Checking injectivity of linear operator under assumptions on the adjoint

Published on 30 Mar 2026 - 22:54

52

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Orthogonal function expansions and eigenvalues

Published on 25 Mar 2026 - 5:04

174

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Functional calculus for unbounded positve operator

Published on 25 Mar 2026 - 7:47

78

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$D((A+B)^)= D(A^)$ if $B$ is $A$-bounded with $A$-bound $0$

Published on 25 Mar 2026 - 12:48

65

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How to show that $\vert \vert T \vert \vert = \sqrt{c}$ where $c:=\sum\limits_{j=1}^{\infty}\sum\limits_{k=1}^{\infty}\vert t_{jk}\vert^{2}$

Published on 31 Mar 2026 - 16:15

409

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How to interpret composition of Integral operators

Published on 13 Jul 2019 - 18:10

72

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Is it necessary to use Arzela Ascoli to show there is convergent subsequence of $(Tf_{n})_{n}$

Published on 23 Feb 2026 - 5:15

28

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Question on convergence needed to determine upper bound for operator norm

Published on 03 Apr 2026 - 14:23

424

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Why is the trace operator not injective?

Published on 30 Mar 2026 - 11:33

177

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Index of tensor product of two Fredholm operators

Published on 15 Jul 2019 - 15:05

213

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Unital commutative Banach algebra $A$, $A/\operatorname{radical}(A)$ has no quasinilpotent elements

Published on 26 Mar 2026 - 1:04

46

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Proving the $x \mapsto \sum_{n}x_{n}$ is not weak-* sequentially continuous on $\ell^{1}$

Published on 29 Mar 2026 - 14:57

206

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Compact operator and dual space

Published on 17 Jul 2019 - 14:47

List Question

Different definitions of a relatively compact operator

Surjectivity of Compact Operators on an Infinite Dimensional Vector Space

Checking injectivity of linear operator under assumptions on the adjoint

Orthogonal function expansions and eigenvalues

Functional calculus for unbounded positve operator

$D((A+B)^)= D(A^)$ if $B$ is $A$-bounded with $A$-bound $0$

How to show that $\vert \vert T \vert \vert = \sqrt{c}$ where $c:=\sum\limits_{j=1}^{\infty}\sum\limits_{k=1}^{\infty}\vert t_{jk}\vert^{2}$

How to interpret composition of Integral operators

Is it necessary to use Arzela Ascoli to show there is convergent subsequence of $(Tf_{n})_{n}$

Question on convergence needed to determine upper bound for operator norm

Why is the trace operator not injective?

Index of tensor product of two Fredholm operators

Unital commutative Banach algebra $A$, $A/\operatorname{radical}(A)$ has no quasinilpotent elements

Proving the $x \mapsto \sum_{n}x_{n}$ is not weak-* sequentially continuous on $\ell^{1}$

Compact operator and dual space

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