List questions from operator-theory

Published on 22 Mar 2026 - 7:41

36

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Prove that $A^n$ converges to the null operator $A \in \mathcal B(H)$, $||A||<1$

Published on 25 Mar 2026 - 9:38

1.5k

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What's the relation between the trace and the range of a projector?

Published on 25 Mar 2026 - 10:55

17

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Properties of (Af)(x, y)= (x+iy)f(x,y) on compact domain

Published on 17 Mar 2026 - 0:57

74

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$T(M^\perp)\subseteq M^\perp \Longleftrightarrow T^*(M)\subseteq M?$

Published on 25 Mar 2026 - 10:53

299

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Showing that the Holomorphic Functional Calculus preserves adjoints.

Published on 23 Mar 2026 - 9:54

126

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Eigenvector Riesz basis under operator multiplication?

Published on 25 Mar 2026 - 9:46

635

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Spectral radius Volterra operator with an arbitrary kernel from $L^2$

Published on 23 Mar 2026 - 0:38

66

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How to show that $U = \{u \in \mathcal{L}(E) \mid u + \operatorname{id} \in \operatorname{Isom}(E) \}$ is open?

Published on 22 Feb 2018 - 18:18

86

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If $(T^*)^n$ converges pointwise in $\ell^1$, what can we conclude about $T^n$?

Published on 22 Feb 2018 - 21:21

43

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Variation with respect to the projective tensor norm of a matrix of bounded variation functions

Published on 20 Mar 2026 - 16:33

115

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Bounded linear invertible operator of norm 1

Published on 24 Mar 2026 - 22:01

792

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Algebra proof for quantum mechanics ladder operator

Published on 26 Mar 2026 - 10:58

144

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Find norm of the operator $A: C[-1,1] \to C[-1,1]$, $(Ax)(t) = \int_{-1}^t x(s) ds - \int_0^1 s x(s) ds$

Published on 26 Mar 2026 - 20:16

172

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von Neumann algebra

Published on 20 Mar 2026 - 5:39

List Question

Reference request for the following theorem in Von Neumann algebras.

Prove that $A^n$ converges to the null operator $A \in \mathcal B(H)$, $||A||<1$

What's the relation between the trace and the range of a projector?

Properties of (Af)(x, y)= (x+iy)f(x,y) on compact domain

$T(M^\perp)\subseteq M^\perp \Longleftrightarrow T^*(M)\subseteq M?$

Showing that the Holomorphic Functional Calculus preserves adjoints.

Eigenvector Riesz basis under operator multiplication?

Spectral radius Volterra operator with an arbitrary kernel from $L^2$

How to show that $U = \{u \in \mathcal{L}(E) \mid u + \operatorname{id} \in \operatorname{Isom}(E) \}$ is open?

If $(T^*)^n$ converges pointwise in $\ell^1$, what can we conclude about $T^n$?

Variation with respect to the projective tensor norm of a matrix of bounded variation functions

Bounded linear invertible operator of norm 1

Algebra proof for quantum mechanics ladder operator

Find norm of the operator $A: C[-1,1] \to C[-1,1]$, $(Ax)(t) = \int_{-1}^t x(s) ds - \int_0^1 s x(s) ds$

von Neumann algebra

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