List questions from operator-algebras

Published on 27 May 2023 - 22:00

54

Views

Let $\mu$ be a $\sigma$-finite measure on borel sigma algebra of $\Bbb{R}$. Define an operator $T^{\mu}$ as follows.

Published on 25 Mar 2026 - 18:49

44

Views

How can I describe the hermitian part of a tensor product of C*-algebras?

Published on 29 May 2023 - 10:26

69

Views

Confusion regarding the proof of $\mathscr{I}_1(H)$ (trace class operators on $H$) is Banach space with respect to $\lVert\cdot\rVert_1$.

Published on 27 Mar 2026 - 23:14

29

Views

A result involving a family $\{\xi_t:t\in T\}$ of non-interferring real valued observales on Hilbert space $H$

Published on 26 Mar 2026 - 8:02

74

Views

Unique extension of states (when there is a conditional expectation involved)

Published on 28 Mar 2026 - 7:51

159

Views

Continuous functional calculus for unbounded operators

Published on 30 May 2023 - 23:20

114

Views

Show that $C^(\mathbb Z)$ is the universal $C^$-algebra generated by a unitary.

Published on 26 Mar 2026 - 11:00

37

Views

Countable p.m.p. equivalence relation from group actions

Published on 29 Mar 2026 - 11:00

116

Views

Dilation for several POVMs

Published on 26 Mar 2026 - 9:36

45

Views

For bounded operator $T$, Ker$(T)$ is isomorphic to Ker($T*$)

Published on 28 Mar 2026 - 4:34

96

Views

Extension of states on $C^*$-algebras (unique extension compared to a sub algebra)

Published on 04 Jun 2023 - 11:28

98

Views

What are isomorphisms in different categories of vector spaces and algebras?

Published on 06 Jun 2023 - 17:54

67

Views

calculate $K_0(C(Z_n))$ and $K_1(C(Z_n)$)

Published on 25 Mar 2026 - 21:48

79

Views

$\|\tau\|=trace(|B|)$

Published on 09 Jun 2023 - 17:14

List Question

Characterization of scalar operators on Hilbert spaces.

Let $\mu$ be a $\sigma$-finite measure on borel sigma algebra of $\Bbb{R}$. Define an operator $T^{\mu}$ as follows.

How can I describe the hermitian part of a tensor product of C*-algebras?

Confusion regarding the proof of $\mathscr{I}_1(H)$ (trace class operators on $H$) is Banach space with respect to $\lVert\cdot\rVert_1$.

A result involving a family $\{\xi_t:t\in T\}$ of non-interferring real valued observales on Hilbert space $H$

Unique extension of states (when there is a conditional expectation involved)

Continuous functional calculus for unbounded operators

Show that $C^(\mathbb Z)$ is the universal $C^$-algebra generated by a unitary.

Countable p.m.p. equivalence relation from group actions

Dilation for several POVMs

For bounded operator $T$, Ker$(T)$ is isomorphic to Ker($T*$)

Extension of states on $C^*$-algebras (unique extension compared to a sub algebra)

What are isomorphisms in different categories of vector spaces and algebras?

calculate $K_0(C(Z_n))$ and $K_1(C(Z_n)$)

$\|\tau\|=trace(|B|)$

Trending Questions

Popular # Hahtags

Popular Questions