List questions from c-star-algebras

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Infinitesimal Ideal is in fact an Ideal

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Element $a$ in a unital C$^{*}$-algebra $A$ with $\overline{\langle a\rangle}=A$, but $a$ not left-invertible

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Inclusion of $C^(S)$ in $W^(S)$ is proper

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Finding all the maximal ideals of $C([0,1])$ and also prime ideals in it which are not maximal

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Quasi-unital maps between multiplier algebras

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The ranges of $T+iI$ and of $T-iI$.

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Product of partial isometry and isometry is a partial isometry

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$A^{**}$ is isometric to $A''$

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C*-algebra norm of sum becomes max of norms

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Finite dimensional irreducible representation

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What does it mean to say that a set is radical in Banach Algebra

Published on 05 May 2026 - 3:15

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$(x_n)$ be sequence such that $x_n \to x$ in $B$. And $r(x_n)=0 \ \forall n$ . Then does it imply $r(x)=0$??

Published on 10 May 2026 - 15:03

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Show that the maximal ideal space of $l^{\infty}$ is totally disconnected.

Published on 05 May 2026 - 14:39

List Question

Why is $U_n^+(A)/U_n^+(A)_0\simeq U_n(A^+)/U_n(A^+)_0$ for a unital C*-algebra $A$?

Infinitesimal Ideal is in fact an Ideal

Element $a$ in a unital C$^{*}$-algebra $A$ with $\overline{\langle a\rangle}=A$, but $a$ not left-invertible

Inclusion of $C^(S)$ in $W^(S)$ is proper

Calkin algebra of direct sum and direct sum of calkin algebra

Finding all the maximal ideals of $C([0,1])$ and also prime ideals in it which are not maximal

Quasi-unital maps between multiplier algebras

The ranges of $T+iI$ and of $T-iI$.

Product of partial isometry and isometry is a partial isometry

$A^{**}$ is isometric to $A''$

C*-algebra norm of sum becomes max of norms

Finite dimensional irreducible representation

What does it mean to say that a set is radical in Banach Algebra

$(x_n)$ be sequence such that $x_n \to x$ in $B$. And $r(x_n)=0 \ \forall n$ . Then does it imply $r(x)=0$??

Show that the maximal ideal space of $l^{\infty}$ is totally disconnected.

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