List questions from operator-theory

Published on 02 Dec 2018 - 14:54

814

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Bounded operator but not Compact

Published on 27 Mar 2026 - 9:04

448

Views

Spectral radius of sum of commuting operators

Published on 28 Mar 2026 - 9:50

85

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Unconditional constant vs Suppression unconditional constant

Published on 25 Mar 2026 - 4:59

57

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Image of a transformation becomes a Hilbert space !!

Published on 28 Mar 2026 - 9:45

119

Views

functional calculus

Published on 26 Mar 2026 - 10:07

158

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Prove that $\sigma_T(T_1,T_2)\subset\sigma(T_1)\times\sigma(T_2)$

Published on 28 Mar 2026 - 11:28

163

Views

Closed operator, closed graph

Published on 26 Mar 2026 - 18:06

65

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Prove that if $\phi$ is invertible operator of V space, then $\phi$ and $\phi^{-1}$ has the same invariant subspaces.

Published on 25 Mar 2026 - 9:38

155

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the spectrum of self-adjoint element

Published on 26 Mar 2026 - 13:51

26

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strictly positive elements under a nonzeo $*$ homomorphism

Published on 26 Mar 2026 - 13:50

55

Views

central projections

Published on 26 Mar 2026 - 13:49

207

Views

Set of injective operators is a dense residual set in $\mathcal{B}(\mathfrak{X})$

Published on 28 Mar 2026 - 0:48

71

Views

k-rank numerical range of an operator.

Published on 26 Mar 2026 - 13:57

33

Views

tracial state of a orthogonal projection

Published on 26 Mar 2026 - 13:51

List Question

Eigenvalues and power of a operator

Bounded operator but not Compact

Spectral radius of sum of commuting operators

Unconditional constant vs Suppression unconditional constant

Image of a transformation becomes a Hilbert space !!

functional calculus

Prove that $\sigma_T(T_1,T_2)\subset\sigma(T_1)\times\sigma(T_2)$

Closed operator, closed graph

Prove that if $\phi$ is invertible operator of V space, then $\phi$ and $\phi^{-1}$ has the same invariant subspaces.

the spectrum of self-adjoint element

strictly positive elements under a nonzeo $*$ homomorphism

central projections

Set of injective operators is a dense residual set in $\mathcal{B}(\mathfrak{X})$

k-rank numerical range of an operator.

tracial state of a orthogonal projection

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