List questions from self-adjoint-operators

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Is it true that core of $C^0$ one-parameter unitary group generator on Hilbert space is invariant under action of this unitary group?

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Unique square root of a positive operator on a Hilbert space

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If $T^*T=T^2$, then prove the operator $T$ is self-adjoint

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Prove that T is self-adjoint

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If the operator $P$ is positive and $T$ is self-adjoint, then is there exists a positive number $n$ such that $nP+T$ is positive?

Published on 09 Apr 2022 - 2:36

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If $T^2$ is positive(that is $T^2$ is self-adjoint and $\langle T^2v,v\rangle\geq 0$) , when $T$ can be self-adjoint?

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Spectrum of general projection and orthogonal projection

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A Geometrical Derivation of Quantum Mechanics Spin Operators

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projection of band limit functions

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Multiplicative property of trace

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Show the operator is self-adjoint on a period function

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Compact, Self-Adjoint, Nonnegative operators have at least one Eigenvector

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Solving Simple PDE by Green's Function, Very Confused By Some Mistake

Relative bound of $A^r$ with respect to $A$

What is a bilinear concomitant (or conjunt) with regards to linear differential operators

Is it true that core of $C^0$ one-parameter unitary group generator on Hilbert space is invariant under action of this unitary group?

Unique square root of a positive operator on a Hilbert space

If $T^*T=T^2$, then prove the operator $T$ is self-adjoint

Prove that T is self-adjoint

If the operator $P$ is positive and $T$ is self-adjoint, then is there exists a positive number $n$ such that $nP+T$ is positive?

If $T^2$ is positive(that is $T^2$ is self-adjoint and $\langle T^2v,v\rangle\geq 0$) , when $T$ can be self-adjoint?

Spectrum of general projection and orthogonal projection

A Geometrical Derivation of Quantum Mechanics Spin Operators

projection of band limit functions

Multiplicative property of trace

Show the operator is self-adjoint on a period function

Compact, Self-Adjoint, Nonnegative operators have at least one Eigenvector

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