List questions from operator-algebras

Published on 10 May 2026 - 15:21

221

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Prove that the operator is nilpotent

Published on 10 May 2026 - 12:31

92

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Infinitesimal Ideal is in fact an Ideal

Published on 10 May 2026 - 19:35

49

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

Published on 10 May 2026 - 18:28

70

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

Published on 10 May 2026 - 15:24

88

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Calkin algebra of direct sum and direct sum of calkin algebra

Published on 10 May 2026 - 18:27

306

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If Banach Algebras are isomorphic, then their corresponding maximal ideal spaces are homeomorphic

Published on 10 May 2026 - 11:41

114

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Quasi-unital maps between multiplier algebras

Published on 10 May 2026 - 19:35

551

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Hermite polynomials $H_{n}(y)=\frac{1}{\sqrt{2^n}}\left( y -\frac{d}{dy} \right)^n$ equivalent form

Published on 29 Apr 2026 - 12:46

124

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Inequality related to spectral radius

Published on 16 Apr 2026 - 22:21

104

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Hahn Banach for functionals on $C^$-algebras that are $$-morphisms.

Published on 13 Apr 2026 - 0:01

68

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

Published on 10 May 2026 - 18:28

449

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Product of partial isometry and isometry is a partial isometry

Published on 11 Apr 2026 - 11:41

154

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

Published on 10 May 2026 - 13:48

108

Views

C*-algebra norm of sum becomes max of norms

Published on 10 May 2026 - 18:28

List Question

Conditional expectation for weights

Prove that the operator is nilpotent

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

If Banach Algebras are isomorphic, then their corresponding maximal ideal spaces are homeomorphic

Quasi-unital maps between multiplier algebras

Hermite polynomials $H_{n}(y)=\frac{1}{\sqrt{2^n}}\left( y -\frac{d}{dy} \right)^n$ equivalent form

Inequality related to spectral radius

Hahn Banach for functionals on $C^$-algebras that are $$-morphisms.

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

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