List questions from von-neumann-algebras

Published on 24 Dec 2015 - 16:19

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direct sum of a collection of Von-Neuman algebras is still Von-Neuman

Published on 02 Jan 2016 - 3:45

59

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If$ p \in B(H)$ is a projection, then $r \in A'$ if and only if the closed vector subspace $p(H)$ of $H$ is invariant for $A$.

Published on 06 Jan 2016 - 7:16

102

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union of group von neumann

Published on 08 Jan 2016 - 7:46

115

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the isomorphism of $L^\infty$ spaces

Published on 08 Jan 2016 - 20:02

170

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Is a unital $*$-homomorphism preserving a state is one-to-one?

Published on 09 Jan 2016 - 17:49

48

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an isomorphism from $L^\infty(\mathbb{T})$ to $L^\infty([-1,1],\frac{2}{\pi } \sqrt{1-t^2}\mathrm{d}t)$

Published on 10 Jan 2016 - 15:57

192

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Von Neumann algebras with uncountable sets of incompatible projections

Published on 11 Jan 2016 - 22:55

983

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Minimal projections on von Neumann Algebras

Published on 16 Jan 2016 - 19:47

126

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Equivalent projections and 2-sided ideals in von Neumann algebras

Published on 18 Jan 2016 - 16:06

218

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which von Neumann algebras have many sufficiently normal irreducible representations?

Published on 19 Jan 2016 - 9:18

434

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Sequences of operators in $B(H)$ which converge in the weak operator topology

Published on 19 Jan 2016 - 10:45

194

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Projection and positive element in C$^*$-algebras

Published on 20 Jan 2016 - 21:30

325

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closed convex hull of projection

Published on 21 Jan 2016 - 7:35

95

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Polar decomposition for completely bounded linear maps

Published on 23 Jan 2016 - 8:08

List Question

Why is a von Neumann algebra is closed with respect to weak * topology?

direct sum of a collection of Von-Neuman algebras is still Von-Neuman

If$ p \in B(H)$ is a projection, then $r \in A'$ if and only if the closed vector subspace $p(H)$ of $H$ is invariant for $A$.

union of group von neumann

the isomorphism of $L^\infty$ spaces

Is a unital $*$-homomorphism preserving a state is one-to-one?

an isomorphism from $L^\infty(\mathbb{T})$ to $L^\infty([-1,1],\frac{2}{\pi } \sqrt{1-t^2}\mathrm{d}t)$

Von Neumann algebras with uncountable sets of incompatible projections

Minimal projections on von Neumann Algebras

Equivalent projections and 2-sided ideals in von Neumann algebras

which von Neumann algebras have many sufficiently normal irreducible representations?

Sequences of operators in $B(H)$ which converge in the weak operator topology

Projection and positive element in C$^*$-algebras

closed convex hull of projection

Polar decomposition for completely bounded linear maps

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