List questions from self-adjoint-operators

Published on 22 Mar 2026 - 22:22

96

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If $A_0$ is self-adjoint, then $A=A_0+T \cdot v_0$ is also self-adjoint?

Published on 23 Mar 2026 - 1:11

240

Views

Compact and self-adjoint operator in $L^2$, and its eigenvalues

Published on 22 Mar 2026 - 23:54

109

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Second derivative is "symmetric" on the subspace

Published on 23 Mar 2026 - 10:28

147

Views

Counterexample to a formula for the norm of a self-adjoint operator on a Hilbert space

Published on 23 Mar 2026 - 3:39

423

Views

Proving square roots of convergent positive operators are convergent

Published on 23 Mar 2026 - 5:46

30

Views

Do natural powers of convergent operators also converge

Published on 22 Mar 2026 - 21:24

579

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Simultaneous eigenstates and commuting operators

Published on 23 Mar 2026 - 15:17

41

Views

An estimate involving exponentials of a self-adjoint operator

Published on 23 Mar 2026 - 3:34

121

Views

Using self adjoint operators to generailze Green's Theorem

Published on 23 Mar 2026 - 10:34

127

Views

Non negative operator which is positive on a dense subset

Published on 22 Mar 2026 - 17:07

95

Views

Eigenvalues of $\sqrt{T^2}$ for compact, self-adjoint operator

Published on 22 Mar 2026 - 17:38

66

Views

T bounded is compact if and only if $\sigma_{\mathrm{ess}}(T)=\{0\}$.

Published on 23 Mar 2026 - 13:25

35

Views

Inner product space involving random vectors

Published on 02 Oct 2020 - 17:52

237

Views

Proof that the continuous part of a spectrum really is "interval like"?

Published on 23 Mar 2026 - 12:44

List Question

Why $\langle Ax,x\rangle = \langle Dx,x\rangle$ holds for a diagonalisable matrix $A = XDX^*$?

If $A_0$ is self-adjoint, then $A=A_0+T \cdot v_0$ is also self-adjoint?

Compact and self-adjoint operator in $L^2$, and its eigenvalues

Second derivative is "symmetric" on the subspace

Counterexample to a formula for the norm of a self-adjoint operator on a Hilbert space

Proving square roots of convergent positive operators are convergent

Do natural powers of convergent operators also converge

Simultaneous eigenstates and commuting operators

An estimate involving exponentials of a self-adjoint operator

Using self adjoint operators to generailze Green's Theorem

Non negative operator which is positive on a dense subset

Eigenvalues of $\sqrt{T^2}$ for compact, self-adjoint operator

T bounded is compact if and only if $\sigma_{\mathrm{ess}}(T)=\{0\}$.

Inner product space involving random vectors

Proof that the continuous part of a spectrum really is "interval like"?

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