Question

Let $\phi:A\rightarrow B$. Then if $b\in B_{sa}\cap\operatorname{ Inv}(B)$, there is $a\in A_{sa}\cap \operatorname{Inv}(A)$ s.t. $\phi(a)=b$

score 94 · Answer 1 · 2026-03-31 10:14:45

Let $\phi:A\rightarrow B$. Then if $b\in B_{sa}\cap\operatorname{ Inv}(B)$, there is $a\in A_{sa}\cap \operatorname{Inv}(A)$ s.t. $\phi(a)=b$

score 496 · Answer 2 · 2026-03-27 16:46:28

496

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570

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score 57 · Answer 4 · 2020-05-28 14:07:47

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score 80 · Answer 5 · 2026-02-23 10:21:48

80

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score 272 · Answer 6 · 2020-05-29 20:53:49

272

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score 114 · Answer 7 · 2026-03-26 06:29:45

114

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108

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69

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142

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score 142 · Answer 15 · 2020-06-06 15:05:46

142

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List Question

Let $\phi:A\rightarrow B$. Then if $b\in B_{sa}\cap\operatorname{ Inv}(B)$, there is $a\in A_{sa}\cap \operatorname{Inv}(A)$ s.t. $\phi(a)=b$

conditional expectations on $C^*$-algebras

What to study after Rudin's Functional Analysis?

Representations of $C_0(X,A)$

For every projection $p$ and normal $a$ in a C-algebra $A$ (with $ap=pa$), there is a $$-isomorphism $C(\sigma(a))\to C^{*}(a,p)$ such that ...

$0 \leq a \leq b \implies \sqrt{a}\leq \sqrt{b}$ in $C^*$-algebras

Ideals of inductive limit of $C^{\ast}-$ algebra.

Is there a proper ideal of $B(H)$ that contains a proper projection

The strict topology is metrizable on bounded subsets

Real valued continuous function is the unique difference of two positive functions

Construction of the free product of $C^*$-algebras

Equivalent definition of decomposable map

definition of dec norm

Prove the operator matrix is positive

Complex conjugation of Banach spaces

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