List questions from operator-algebras

Published on 24 Jun 2016 - 0:35

60

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Countable weighted shift has no invariant subspace.

Published on 24 Jun 2016 - 10:48

84

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Compute the positive part of $K_0(A)$ where $A$ is a simple AF algebra

Published on 28 Mar 2026 - 15:20

42

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modular operator

Published on 25 Jun 2016 - 10:31

1.7k

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Semi-finite trace on a von Neumann algebra: Equivalent definitions

Published on 29 Mar 2026 - 16:02

57

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Show that $A\varphi_j=\left<A\varphi_j,\varphi_j\right>\varphi_j$ and $A^*A\varphi_j=s_j(A)^2\varphi_j$ for all $j$

Published on 27 Jun 2016 - 10:59

83

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Uncountable sequence $R_1 \subset R_2 \subset ... $ of von Neumann algebras acting on separable $H$?

Published on 29 Mar 2026 - 16:02

465

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Equivalence of some characterization of pure states

Published on 27 Jun 2016 - 14:59

105

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All nonzero singular values of $A$ are equal to $1$ iff $A^=A^AA^$ and $A=AA^A$

Published on 29 Mar 2026 - 9:11

218

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What is the dual space of a von Neumann algebra?

Published on 29 Mar 2026 - 16:02

327

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Does tensor product with $L_p$ operator algebra preserve exact sequences?

Published on 30 Mar 2026 - 0:18

108

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differential equation of the square root of a matrix

Published on 07 Apr 2013 - 18:35

76

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What is $\sigma_{\mathfrak{M}_{p}}(p\cdot a\cdot p)$ when $p=\chi_{S}(a)$ for closed $S\subseteq \sigma(a)$?

Published on 29 Mar 2026 - 16:02

597

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Unitary operator in von Neumann algebra

Published on 29 Mar 2026 - 16:01

480

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Point spectrum in Hilbert spaces

Published on 10 Apr 2013 - 4:09

List Question

A question about orthogonality

Countable weighted shift has no invariant subspace.

Compute the positive part of $K_0(A)$ where $A$ is a simple AF algebra

modular operator

Semi-finite trace on a von Neumann algebra: Equivalent definitions

Show that $A\varphi_j=\left<A\varphi_j,\varphi_j\right>\varphi_j$ and $A^*A\varphi_j=s_j(A)^2\varphi_j$ for all $j$

Uncountable sequence $R_1 \subset R_2 \subset ... $ of von Neumann algebras acting on separable $H$?

Equivalence of some characterization of pure states

All nonzero singular values of $A$ are equal to $1$ iff $A^=A^AA^$ and $A=AA^A$

What is the dual space of a von Neumann algebra?

Does tensor product with $L_p$ operator algebra preserve exact sequences?

differential equation of the square root of a matrix

What is $\sigma_{\mathfrak{M}_{p}}(p\cdot a\cdot p)$ when $p=\chi_{S}(a)$ for closed $S\subseteq \sigma(a)$?

Unitary operator in von Neumann algebra

Point spectrum in Hilbert spaces

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