List questions from operator-algebras

Published on 14 Apr 2026 - 20:54

308

Views

Tensor product of C* algebras

Published on 14 Apr 2026 - 19:40

359

Views

polar decomposition of compact operators

Published on 10 May 2026 - 15:22

480

Views

suspension of C$^*$-algebra

Published on 11 Apr 2026 - 8:54

194

Views

A separable $C^$ algebra which contains all separable $C^$ algebras.

Published on 10 May 2026 - 22:20

210

Views

Projections in the Cuntz algebra which have the same $K_0$ class

Published on 25 Apr 2026 - 0:41

129

Views

Closeness of points in the irreducible decomposition of a C$^{*}$-algebra representation

Published on 16 Apr 2026 - 15:11

230

Views

why $\lambda \Vert x \Vert \leq \Vert (\lambda-A)x\Vert$ imply $R(\lambda-A)$ is a closed subspace of $\mathscr{X}$ and $\lambda-A$ is 1-1 on $D(A)$?

Published on 10 May 2026 - 15:17

210

Views

Why infinitesimal generator of the autonomous differential equation $\frac{dx(t)}{dt}=\textbf{b}(x(t))$ is gradient operator?

Published on 16 Apr 2026 - 12:32

56

Views

$\Big(f\in A(G)$ & $H(x) = f(x^2) \Big){\Longrightarrow}^{?} H\in A(G)$

Published on 10 May 2026 - 15:25

247

Views

Power of $a^{\dagger}=\sqrt{\frac{\omega m }{2 \hbar}}\left (x-\frac{\hbar}{m\omega}\frac{d}{dx} \right)$

Published on 10 May 2026 - 19:25

139

Views

Non trivial section of the Bott bundle

Published on 10 May 2026 - 15:50

756

Views

Spectral Theorem: Multiplication Operator Form

Published on 13 Apr 2026 - 7:46

73

Views

Is the sum of separating vectors always separating?

Published on 10 May 2026 - 15:22

217

Views

Doubt regarding Serre-Swan theorem and Hilbert modules

Published on 10 May 2026 - 23:49

List Question

If $A^{1/2}B^{1/2}=0$. Why $BA=0\;?$

Tensor product of C* algebras

polar decomposition of compact operators

suspension of C$^*$-algebra

A separable $C^$ algebra which contains all separable $C^$ algebras.

Projections in the Cuntz algebra which have the same $K_0$ class

Closeness of points in the irreducible decomposition of a C$^{*}$-algebra representation

why $\lambda \Vert x \Vert \leq \Vert (\lambda-A)x\Vert$ imply $R(\lambda-A)$ is a closed subspace of $\mathscr{X}$ and $\lambda-A$ is 1-1 on $D(A)$?

Why infinitesimal generator of the autonomous differential equation $\frac{dx(t)}{dt}=\textbf{b}(x(t))$ is gradient operator?

$\Big(f\in A(G)$ & $H(x) = f(x^2) \Big){\Longrightarrow}^{?} H\in A(G)$

Power of $a^{\dagger}=\sqrt{\frac{\omega m }{2 \hbar}}\left (x-\frac{\hbar}{m\omega}\frac{d}{dx} \right)$

Non trivial section of the Bott bundle

Spectral Theorem: Multiplication Operator Form

Is the sum of separating vectors always separating?

Doubt regarding Serre-Swan theorem and Hilbert modules

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