List questions from self-adjoint-operators

Published on 11 Apr 2026 - 18:42

247

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If a operator $A$ in Hilbert space is positive then $A$ is self-adjoint?

Published on 25 Mar 2026 - 17:32

95

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About invariant subspaces of resolvent operators

Published on 25 Mar 2026 - 17:32

176

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Stone formula and joint spectral measures for commuting operators

Published on 25 Mar 2026 - 17:32

40

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If $p^{2}=p^{}=p$ and $pa^{}a=paa^{}=0$, then $a^{}p+pa=0$.

Published on 10 May 2026 - 23:31

50

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If $P,Q$ orthogonal projections on $H$ and $T\colon H\to H$ extension of Hilbert isomorphism $S\colon P(H)\to Q(H)$, then $Q=TT^{*}$.

Published on 25 Mar 2026 - 17:33

145

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If $P$ is a projection and $T$ is positive operator such that $P\leq T$, then why $P(H)\subset\sqrt{T}(H)$?

Published on 25 Mar 2026 - 17:33

220

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inequality for positive contraction operator

Published on 25 Mar 2026 - 17:29

438

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Hilbert space self adjoint and idempotent

Published on 25 Mar 2026 - 17:31

48

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Semi-positivity of an Hermitian matrix

Published on 10 May 2026 - 15:24

67

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prove $Ax_n - \lambda x_n \to 0$

Published on 25 Mar 2026 - 17:30

115

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Tail of increasing convergent net of self-adjoint operators is bounded

Published on 05 May 2026 - 2:53

140

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Self-adjoint operator as composition of bounded and self-adjoint

Published on 25 Mar 2026 - 17:34

484

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Is self-adjoint operator necessarily linear?

Published on 25 Mar 2026 - 17:28

67

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If $S$ and $T$ are distinct self-adjoint operators on $H$ such that $S\leq T$, can we conclude that $\langle Sx,x\rangle<\langle Tx,x\rangle$?

Published on 25 Mar 2026 - 17:33

List Question

If a operator $L$ in a Hilbert space is self-adjoint, then $L$ is coercive?

If a operator $A$ in Hilbert space is positive then $A$ is self-adjoint?

About invariant subspaces of resolvent operators

Stone formula and joint spectral measures for commuting operators

If $p^{2}=p^{}=p$ and $pa^{}a=paa^{}=0$, then $a^{}p+pa=0$.

If $P,Q$ orthogonal projections on $H$ and $T\colon H\to H$ extension of Hilbert isomorphism $S\colon P(H)\to Q(H)$, then $Q=TT^{*}$.

If $P$ is a projection and $T$ is positive operator such that $P\leq T$, then why $P(H)\subset\sqrt{T}(H)$?

inequality for positive contraction operator

Hilbert space self adjoint and idempotent

Semi-positivity of an Hermitian matrix

prove $Ax_n - \lambda x_n \to 0$

Tail of increasing convergent net of self-adjoint operators is bounded

Self-adjoint operator as composition of bounded and self-adjoint

Is self-adjoint operator necessarily linear?

If $S$ and $T$ are distinct self-adjoint operators on $H$ such that $S\leq T$, can we conclude that $\langle Sx,x\rangle<\langle Tx,x\rangle$?

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