List questions from self-adjoint-operators

Published on 25 Mar 2026 - 10:59

86

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If $A$ is a nonnegative self-adjoint operator on a Hilbert space $H$, can we show that $\left\|Ax\right\|_H^2=\langle Ax,x\rangle_H$?

Published on 25 Mar 2026 - 11:04

125

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Integral with respect to spectral measure

Published on 25 Mar 2026 - 7:49

49

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Domain of unbounded selfadjoint operator

Published on 25 Mar 2026 - 7:41

62

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Is the form domain of a self adjoint operator closed?

Published on 25 Mar 2026 - 11:05

73

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Spectrum of bounded self adjoint operator

Published on 25 Mar 2026 - 11:00

59

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Can a self-adjoint operator in a C*-algebra be such that $\|a^3\|\neq \|a\|^3$?

Published on 25 Mar 2026 - 11:02

60

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Can we cycle operators when we calculate operator norms?

Published on 25 Mar 2026 - 7:42

173

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Check if a Differential operator is self-adjoint

Published on 25 Mar 2026 - 11:00

312

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Adjoint vs Self-adjoint operators represented by matrices

Published on 25 Mar 2026 - 10:59

355

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Is the infinitesimal generator of an adjoint semigroup bounded?

Published on 10 May 2026 - 18:16

140

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Symetric matrix with non-negative entries has an eigenvalue with non-negative coordinates.

Published on 28 Mar 2026 - 18:56

43

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Implications of relative operator bounds.

Published on 28 Mar 2026 - 22:31

140

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Self - adjoint contraction operators on Hilbert spaces

Published on 19 Apr 2026 - 4:29

496

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Limit of an increasing sequence of self-adjoint operators

Published on 05 May 2026 - 0:22

List Question

Why are self-adjoint operators important?

If $A$ is a nonnegative self-adjoint operator on a Hilbert space $H$, can we show that $\left\|Ax\right\|_H^2=\langle Ax,x\rangle_H$?

Integral with respect to spectral measure

Domain of unbounded selfadjoint operator

Is the form domain of a self adjoint operator closed?

Spectrum of bounded self adjoint operator

Can a self-adjoint operator in a C*-algebra be such that $\|a^3\|\neq \|a\|^3$?

Can we cycle operators when we calculate operator norms?

Check if a Differential operator is self-adjoint

Adjoint vs Self-adjoint operators represented by matrices

Is the infinitesimal generator of an adjoint semigroup bounded?

Symetric matrix with non-negative entries has an eigenvalue with non-negative coordinates.

Implications of relative operator bounds.

Self - adjoint contraction operators on Hilbert spaces

Limit of an increasing sequence of self-adjoint operators

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