List questions from c-star-algebras

Published on 17 Jul 2020 - 14:07

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Surjectivity of spectral measure associated to an isolated point

Published on 31 Mar 2026 - 17:58

664

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$q-p$ is a projection when $pq = p$

Published on 27 Mar 2026 - 19:32

85

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Question about proof characterisation partial isometry

Published on 26 Mar 2026 - 14:33

54

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Show $\sigma(x) \in \{0,1\}$ if $x \in \{0,1\}$

Published on 30 Mar 2026 - 10:56

71

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The equivalence relation defined by normal form on Von Neumann algebra, its support and the it's representation .

Published on 27 Feb 2026 - 16:19

93

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For any two positive operator $a,b$ with norm $<1$ there is a $c$ such that $a,b\leq c$ and $\|c\|<1$. Does this hold for $\|a\|=\|b\|=1$?

Published on 27 Mar 2026 - 17:40

123

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Why is the spectrum of a shift operator the closed unit disk?

Published on 30 Mar 2026 - 10:56

66

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Eigenvalues of a compact operator with modulus greater than $\epsilon$ is finite

Published on 27 Mar 2026 - 13:19

95

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Reference books on the Baum Connes conjecture

Published on 25 Mar 2026 - 11:00

184

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Finite rank operators spanned by rank-one projections proof.

Published on 27 Mar 2026 - 19:32

137

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Show that a certain projection is rank one.

Published on 25 Jul 2020 - 9:34

222

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Show that $pAp$ is a $C^$-subalgebra of a $C^$-algebra $A$.

Published on 25 Jul 2020 - 11:46

111

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Haagerup norm on C${}^*$-algebras

Published on 27 Mar 2026 - 18:34

50

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$\Vert x \Vert \leq 1 \implies \Vert x^{1/2} \Vert \leq 1$ in a $C^*$-algebra

Published on 26 Jul 2020 - 22:07

List Question

If $B$ is a $C^*$-subalgebra of $A$, then $\sigma_A(b) \cup \{0\} = \sigma_B(b) \cup \{0\}$

Surjectivity of spectral measure associated to an isolated point

$q-p$ is a projection when $pq = p$

Question about proof characterisation partial isometry

Show $\sigma(x) \in \{0,1\}$ if $x \in \{0,1\}$

The equivalence relation defined by normal form on Von Neumann algebra, its support and the it's representation .

For any two positive operator $a,b$ with norm $<1$ there is a $c$ such that $a,b\leq c$ and $\|c\|<1$. Does this hold for $\|a\|=\|b\|=1$?

Why is the spectrum of a shift operator the closed unit disk?

Eigenvalues of a compact operator with modulus greater than $\epsilon$ is finite

Reference books on the Baum Connes conjecture

Finite rank operators spanned by rank-one projections proof.

Show that a certain projection is rank one.

Show that $pAp$ is a $C^$-subalgebra of a $C^$-algebra $A$.

Haagerup norm on C${}^*$-algebras

$\Vert x \Vert \leq 1 \implies \Vert x^{1/2} \Vert \leq 1$ in a $C^*$-algebra

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