List questions from operator-theory

Published on 09 Apr 2026 - 4:34

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Endomorphism of commutative $C^*$-algebras

Published on 30 Mar 2026 - 20:41

104

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Applying propagator to Laplace eigenfunctions

Published on 09 Apr 2026 - 21:30

135

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Calculate the index of a Fredholm Operator

Published on 12 Apr 2026 - 3:01

106

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Give an example of a $T\in\mathcal L\left(\mathbb R^2\right)$ s. t. $Ker(T) = Im(T)$.

Published on 09 Apr 2026 - 3:51

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If $H$ Hilbert and $(P_k)$ is a sequence of orthogonal projections in $B(H)$, then $0$ is in weak closure of $\{\sqrt{k}P_k:k\in\mathbb{N}\}$

Published on 25 Mar 2026 - 23:42

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Let $B_nx=x(t-\frac{1}{n})\in L^2(\mathbb{R})$. Show that $B_n\overset{s}{\to}Id$ but $B_n\not\rightrightarrows Id$

Published on 11 Apr 2026 - 15:00

199

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Weak convergence of unitary operators on a dense subset.

Published on 13 Apr 2026 - 6:29

48

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$A\in BIP(X)$ and $A_{\epsilon}=A^{\epsilon}(\epsilon +A)^{-2\epsilon}$ how to proof that $A_{\epsilon}x\to x$ when $\epsilon\to 0$for all $x\in X$

Published on 09 Apr 2026 - 17:15

41

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Inverse operator in the space of infinite bounded sequences $l_2$

Published on 13 Apr 2026 - 14:45

395

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Does Murphy prove that states separate the points of a C*-algebra?

Published on 12 Apr 2026 - 22:04

95

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If $1=\frac{1}{2}(a+b)$ for some $a,b$ in a unital C*-algebra $A$ with $\|a\|,\|b\|\leq1$, then $a=b$.

Published on 30 Mar 2026 - 23:00

101

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Let $p$ be a projection in a unital C*-algebra $A$. What is the kernel of the map $a\mapsto pap$?

Published on 13 Apr 2026 - 0:00

159

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Showing that: $A$ maximal monotone $\Longleftrightarrow A^*$ monotone.

Published on 13 Apr 2026 - 2:52

76

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Operator-Valued Differential Equation

Published on 09 Apr 2026 - 13:24

List Question

Positive operator and inner product

Endomorphism of commutative $C^*$-algebras

Applying propagator to Laplace eigenfunctions

Calculate the index of a Fredholm Operator

Give an example of a $T\in\mathcal L\left(\mathbb R^2\right)$ s. t. $Ker(T) = Im(T)$.

If $H$ Hilbert and $(P_k)$ is a sequence of orthogonal projections in $B(H)$, then $0$ is in weak closure of $\{\sqrt{k}P_k:k\in\mathbb{N}\}$

Let $B_nx=x(t-\frac{1}{n})\in L^2(\mathbb{R})$. Show that $B_n\overset{s}{\to}Id$ but $B_n\not\rightrightarrows Id$

Weak convergence of unitary operators on a dense subset.

$A\in BIP(X)$ and $A_{\epsilon}=A^{\epsilon}(\epsilon +A)^{-2\epsilon}$ how to proof that $A_{\epsilon}x\to x$ when $\epsilon\to 0$for all $x\in X$

Inverse operator in the space of infinite bounded sequences $l_2$

Does Murphy prove that states separate the points of a C*-algebra?

If $1=\frac{1}{2}(a+b)$ for some $a,b$ in a unital C*-algebra $A$ with $\|a\|,\|b\|\leq1$, then $a=b$.

Let $p$ be a projection in a unital C*-algebra $A$. What is the kernel of the map $a\mapsto pap$?

Showing that: $A$ maximal monotone $\Longleftrightarrow A^*$ monotone.

Operator-Valued Differential Equation

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