List questions from operator-theory

Published on 26 Mar 2026 - 9:14

83

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Simple proof that an operator is compact

Published on 15 Nov 2018 - 20:18

163

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How many connected components could the intersection of $\{A \in M_n(\mathbb R): \rho(A) < 1\}$ and an affine subspace in $M_n(\mathbb R)$ have?

Published on 26 Mar 2026 - 2:49

47

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comparison of multiplier algebras

Published on 26 Mar 2026 - 9:16

80

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Minimal or Maximal Von Neumann algebra contained in a given $C^*$ algebra

Published on 26 Mar 2026 - 8:31

45

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Proving that $T$ is self-adjoint (or that $A,B$ are vertical to each other)

Published on 28 Mar 2026 - 6:40

265

Views

What Are the Irreducible Representations of the Rational Rotation C$^{*}$-algebra?

Published on 26 Mar 2026 - 9:27

128

Views

infinite dimensional positive matrix

Published on 26 Mar 2026 - 9:25

125

Views

Show that $\forall y \in X$ the equation $x= y + Tx$ has a unique solution

Published on 27 Mar 2026 - 19:53

37

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elements in $C^*$ algebra

Published on 26 Mar 2026 - 9:25

310

Views

trace and operator norm of $\exp^A$

Published on 26 Mar 2026 - 9:19

131

Views

Unique solution for $x = y + Tx$ if $T(x_1,x_2,\dots) = (\frac{1}{2}x_2,\frac{1}{3}x_3,\dots)$

Published on 17 Nov 2018 - 17:54

405

Views

the spectrum of normal operator

Published on 17 Nov 2018 - 21:19

249

Views

functional calculus for non-unital $C^*$ algebras

Published on 26 Mar 2026 - 8:31

106

Views

Prove that $\forall t \in \mathbb R$ the set $f^{-1}(\{t\})$ is a hyperplane of $X$

Published on 25 Mar 2026 - 10:12

List Question

construct a sequence of operators

Simple proof that an operator is compact

How many connected components could the intersection of $\{A \in M_n(\mathbb R): \rho(A) < 1\}$ and an affine subspace in $M_n(\mathbb R)$ have?

comparison of multiplier algebras

Minimal or Maximal Von Neumann algebra contained in a given $C^*$ algebra

Proving that $T$ is self-adjoint (or that $A,B$ are vertical to each other)

What Are the Irreducible Representations of the Rational Rotation C$^{*}$-algebra?

infinite dimensional positive matrix

Show that $\forall y \in X$ the equation $x= y + Tx$ has a unique solution

elements in $C^*$ algebra

trace and operator norm of $\exp^A$

Unique solution for $x = y + Tx$ if $T(x_1,x_2,\dots) = (\frac{1}{2}x_2,\frac{1}{3}x_3,\dots)$

the spectrum of normal operator

functional calculus for non-unital $C^*$ algebras

Prove that $\forall t \in \mathbb R$ the set $f^{-1}(\{t\})$ is a hyperplane of $X$

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