List questions from c-star-algebras

Published on 19 Jan 2022 - 10:05

188

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If $\varphi: A \to B$ is surjective, then is $\varphi^{}: A^{}\to B^{**}$ surjective?

Published on 12 Apr 2026 - 2:43

242

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An exercise for positive map on operator system

Published on 12 Apr 2026 - 15:17

121

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If $A$ is a $W^*$-algebra, how to construct a nice predual for $M_n(A)$?

Published on 12 Apr 2026 - 23:29

112

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Can a $C^*$-algebra $A$ be a prime algebra?

Published on 22 Jan 2022 - 22:10

68

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Question on states and nets in a non-unital $C^*$ algebra

Published on 11 Apr 2026 - 23:14

123

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Square root of positive elements in Banach *-algebras

Published on 11 Apr 2026 - 6:37

47

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Takesaki Proposition 1.5 Epsilon Inequality

Published on 01 Apr 2026 - 17:25

59

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Can every bounded functional be written as a linear combination of two bounded hermitian functionals?

Published on 11 Apr 2026 - 13:03

74

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Polar decomposition of a functional in $C(\Gamma)?$

Published on 11 Apr 2026 - 21:16

229

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If $pqp = p$ and $qpq=q$, is it true that $p=q?$

Published on 12 Apr 2026 - 17:07

133

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Haagerup tensor product of $C^{\ast}$-algebras

Published on 13 Apr 2026 - 0:01

88

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An inequality based on inclusion of hereditary $C^*$-subalgebras

Published on 12 Apr 2026 - 17:07

327

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Proof of Spectral Mapping theorem

Published on 10 Apr 2026 - 21:04

52

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Element of Norm $1$ in Takesaki Theorem 10.2

Published on 12 Apr 2026 - 17:32

List Question

If $a,b$ are commuting normal elements of a $C^$-algebra, then does $a$ commute with $b^$?

If $\varphi: A \to B$ is surjective, then is $\varphi^{}: A^{}\to B^{**}$ surjective?

An exercise for positive map on operator system

If $A$ is a $W^*$-algebra, how to construct a nice predual for $M_n(A)$?

Can a $C^*$-algebra $A$ be a prime algebra?

Question on states and nets in a non-unital $C^*$ algebra

Square root of positive elements in Banach *-algebras

Takesaki Proposition 1.5 Epsilon Inequality

Can every bounded functional be written as a linear combination of two bounded hermitian functionals?

Polar decomposition of a functional in $C(\Gamma)?$

If $pqp = p$ and $qpq=q$, is it true that $p=q?$

Haagerup tensor product of $C^{\ast}$-algebras

An inequality based on inclusion of hereditary $C^*$-subalgebras

Proof of Spectral Mapping theorem

Element of Norm $1$ in Takesaki Theorem 10.2

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