List questions from von-neumann-algebras

Published on 21 Nov 2012 - 17:37

386

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Does weak convergence imply strong convergence in a von Neumann Algebra

Published on 21 Nov 2012 - 17:45

151

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If $Lat(\mathcal{A})$ is trivial then $\mathcal{A}'$ consists of scalars.

Published on 07 Dec 2012 - 16:14

168

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Continuity of the operation: Infimum of two projections.

Published on 13 Dec 2012 - 11:10

324

Views

Do we have Maximal Abelian Algebras (MAAs)?

Published on 28 Dec 2012 - 13:17

304

Views

Polar decompostion for the operator algebras

Published on 18 Jan 2013 - 11:10

74

Views

Given $\theta(p)\neq p$ does there exist $q\leq p$, so that $\theta(q)q=0$?

Published on 29 Jan 2013 - 15:31

233

Views

Trace-preserving $\Rightarrow$ Norm-preserving?

Published on 31 Jan 2013 - 11:42

387

Views

Counterexample for a polar decomposition in von Neumann and $C^\ast$ algebras

Published on 27 Feb 2013 - 14:28

508

Views

The span of the orthorgonal projections is norm dense in $B(H)$

Published on 03 Mar 2013 - 17:04

1.3k

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von Neumann algebra factors

Published on 13 Mar 2013 - 14:44

72

Views

Question about proof that sub $*$-algebra of $B(H)$ is strongly dense in bicommutant.

Published on 29 Mar 2026 - 23:45

258

Views

How is direct sum of von Neumann algebras defined?

Published on 02 Aug 2020 - 18:06

45

Views

An exponent operator affiliated to a vN algebra.

Published on 26 Mar 2026 - 12:13

127

Views

is the commutant of a hyperfinite factor hyperfinite?

Published on 04 Aug 2020 - 11:11

List Question

Kaplansky for Projections

Does weak convergence imply strong convergence in a von Neumann Algebra

If $Lat(\mathcal{A})$ is trivial then $\mathcal{A}'$ consists of scalars.

Continuity of the operation: Infimum of two projections.

Do we have Maximal Abelian Algebras (MAAs)?

Polar decompostion for the operator algebras

Given $\theta(p)\neq p$ does there exist $q\leq p$, so that $\theta(q)q=0$?

Trace-preserving $\Rightarrow$ Norm-preserving?

Counterexample for a polar decomposition in von Neumann and $C^\ast$ algebras

The span of the orthorgonal projections is norm dense in $B(H)$

von Neumann algebra factors

Question about proof that sub $*$-algebra of $B(H)$ is strongly dense in bicommutant.

How is direct sum of von Neumann algebras defined?

An exponent operator affiliated to a vN algebra.

is the commutant of a hyperfinite factor hyperfinite?

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