List questions from operator-theory

125

Views

$\| (I-T)^{-1}|_{\ker(I-T)^\perp} \| \geq 1$ for all compact operator $T$ in an infinite dimensional Hilbert space

Published on 25 Mar 2026 - 15:28

90

Views

Confusion about relationship between operator $K$-theory and topological $K$-theory

Published on 20 Mar 2026 - 4:13

375

Views

Definition of matrix valued smooth function

Published on 26 Mar 2026 - 2:59

122

Views

hyponormal operators

Published on 25 Mar 2026 - 11:40

131

Views

a positive matrix of operators

Published on 25 Mar 2026 - 11:49

54

Views

If $S=(S_1,S_2)$ hyponormal, why $S_1$ and $S_2$ are hyponormal?

Published on 24 Mar 2026 - 2:12

484

Views

Closed kernel of a operator.

Published on 25 Mar 2026 - 11:47

330

Views

Why is $\lambda\mapsto(\lambda\textbf{1}-T)^{-1}$ analytic on $\rho(T)$?

Published on 20 Mar 2026 - 16:43

174

Views

Show that a sequence of operators converges strongly to $I$ but not by norm.

Published on 23 Mar 2026 - 18:33

2k

Views

Is the dot product a symmetric or anti-symmetric operator?

Published on 23 Mar 2026 - 22:15

94

Views

The space $D(A^\infty)$

Published on 25 Mar 2026 - 11:39

73

Views

construction of a sequence in a complex Hilbert space which fulfills some specific properties

Published on 23 Mar 2026 - 6:38

176

Views

Example of unbounded operator with a given property

Published on 19 Mar 2026 - 22:56

77

Views

About vectors that have bounded support representation on the spectrum of a self-adjoint operator

Published on 20 Mar 2026 - 5:43

206

Views

If $A\in\mathcal{L}(E)$, why $\lim\limits_{n\to+\infty}\|A^n\|^{1/n}$ always exists?

Published on 19 Mar 2026 - 23:13

List Question

$\| (I-T)^{-1}|_{\ker(I-T)^\perp} \| \geq 1$ for all compact operator $T$ in an infinite dimensional Hilbert space

Confusion about relationship between operator $K$-theory and topological $K$-theory

Definition of matrix valued smooth function

hyponormal operators

a positive matrix of operators

If $S=(S_1,S_2)$ hyponormal, why $S_1$ and $S_2$ are hyponormal?

Closed kernel of a operator.

Why is $\lambda\mapsto(\lambda\textbf{1}-T)^{-1}$ analytic on $\rho(T)$?

Show that a sequence of operators converges strongly to $I$ but not by norm.

Is the dot product a symmetric or anti-symmetric operator?

The space $D(A^\infty)$

construction of a sequence in a complex Hilbert space which fulfills some specific properties

Example of unbounded operator with a given property

About vectors that have bounded support representation on the spectrum of a self-adjoint operator

If $A\in\mathcal{L}(E)$, why $\lim\limits_{n\to+\infty}\|A^n\|^{1/n}$ always exists?

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