List questions from operator-algebras

Published on 18 Jul 2023 - 13:56

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$C^*$-Algebras and Gelfand Duality Reference

Published on 23 Jul 2023 - 1:56

103

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Two projections are unitary equivalent and commute will give us self adjoint unitary equivalent?

Published on 28 Mar 2026 - 10:16

38

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Smeared polynomials of creation and annihilation operators

Published on 25 Mar 2026 - 19:02

44

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Residual Subgroup, Conditional Expectations, and Central Sequences

Published on 28 Mar 2026 - 10:14

57

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Strictly positive element in a von Neumann algebra

Published on 28 Mar 2026 - 10:16

113

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Let $A$ be a unital $C^$-algebra, $a\in A,\ x,y\in A_{sa}$. Does there exist a state $\phi$ on $A$ such that $\phi(xa^ay)=\lVert a\rVert^2\phi(xy)$?

Published on 01 Aug 2023 - 19:50

42

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$\sup \{upu^*: u \in \mathcal U( M)\}$ is a central projection of a von Neumann algebra $M$

Published on 28 Mar 2026 - 10:24

27

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Any symmetric normed ideal $\mathfrak{a}$ on $\mathcal{H}$ is linearly generated by its positive elements

Published on 28 Mar 2026 - 10:35

63

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Operator topologies on direct sum of von Neumann algebras

Published on 28 Mar 2026 - 12:14

39

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Group of Integer Valued Functions on Interior of Unit Circle

Published on 11 Aug 2023 - 17:49

82

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Image of conditional expectation in von Neumann algebra

Published on 28 Mar 2026 - 12:02

59

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Noncommutative analog compact open topology

Published on 28 Mar 2026 - 13:36

46

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Theorem 3.1.1, Gerald Murphy's C* algebra and Operator Theory

Published on 19 Aug 2023 - 12:21

106

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Is the unit ball complete in the 2-norm of tracial von Neumann algebra

Published on 28 Mar 2026 - 11:54

List Question

Why is the projection to the image of an algebra in the commutator

$C^*$-Algebras and Gelfand Duality Reference

Two projections are unitary equivalent and commute will give us self adjoint unitary equivalent?

Smeared polynomials of creation and annihilation operators

Residual Subgroup, Conditional Expectations, and Central Sequences

Strictly positive element in a von Neumann algebra

Let $A$ be a unital $C^$-algebra, $a\in A,\ x,y\in A_{sa}$. Does there exist a state $\phi$ on $A$ such that $\phi(xa^ay)=\lVert a\rVert^2\phi(xy)$?

$\sup \{upu^*: u \in \mathcal U( M)\}$ is a central projection of a von Neumann algebra $M$

Any symmetric normed ideal $\mathfrak{a}$ on $\mathcal{H}$ is linearly generated by its positive elements

Operator topologies on direct sum of von Neumann algebras

Group of Integer Valued Functions on Interior of Unit Circle

Image of conditional expectation in von Neumann algebra

Noncommutative analog compact open topology

Theorem 3.1.1, Gerald Murphy's C* algebra and Operator Theory

Is the unit ball complete in the 2-norm of tracial von Neumann algebra

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