self-adjoint operator

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self-adjoint operator

In mathematics, a self-adjoint operator on a finite-dimensional complex vector space V with inner product ⟨ ⋅ , ⋅ ⟩ -displaystyle -langle -cdot ,-cdot -rangle } ... ,In mathematics, an element x of a *-algebra is self-adjoint if x ∗ = x -displaystyle x^*}=x} x^*}= ... See self-adjoint operator for a detailed discussion. If the Hilbert ... ,跳到 Symmetric operators and self-adjoint operators - An operator T on a Hilbert space is symmetric if ... Equivalently, an operator T is self-adjoint if it is ... ,跳到 Compact self adjoint operator - A bounded operator T on a Hilbert space H is said to be ... Let T be a compact self adjoint operator on a Hilbert space ... ,跳到 Self-adjoint extension on a larger space - ... to a unitary operator. Consequently, every symmetric operator has a self-adjoint extension, on a possibly ... , Adjoint operators and their properties, conjugate linearity, and dual spaces. • Self-adjoint operators, spectral theorems, and normal operators., Every selfadjoint operator is closed. But it's always been stated without a proof. Is it somehow obvious? I can't see it immediately from the graph ...,Non-negative operator & self-adjoint operator [duplicate] · Ask Question. 0 ... Show that a positive operator on a complex Hilbert space is self-adjoint 2 answers. , A Hermitean (or hermitian) operator is a bounded symmetric operator (which is necessarily self-adjoint), although some authors use the term for ...,The differential operators corresponding to the Legendre differential equation and the equation of simple harmonic motion are self-adjoint, while those ...

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self-adjoint operator 相關參考資料
Self-adjoint operator - Wikipedia

In mathematics, a self-adjoint operator on a finite-dimensional complex vector space V with inner product ⟨ ⋅ , ⋅ ⟩ -displaystyle -langle -cdot ,-cdot -rangle } ...

https://en.wikipedia.org

Self-adjoint - Wikipedia

In mathematics, an element x of a *-algebra is self-adjoint if x ∗ = x -displaystyle x^*}=x} x^*}= ... See self-adjoint operator for a detailed discussion. If the Hilbert ...

https://en.wikipedia.org

Unbounded operator - Wikipedia

跳到 Symmetric operators and self-adjoint operators - An operator T on a Hilbert space is symmetric if ... Equivalently, an operator T is self-adjoint if it is ...

https://en.wikipedia.org

Compact operator on Hilbert space - Wikipedia

跳到 Compact self adjoint operator - A bounded operator T on a Hilbert space H is said to be ... Let T be a compact self adjoint operator on a Hilbert space ...

https://en.wikipedia.org

Extensions of symmetric operators - Wikipedia

跳到 Self-adjoint extension on a larger space - ... to a unitary operator. Consequently, every symmetric operator has a self-adjoint extension, on a possibly ...

https://en.wikipedia.org

Lecture 17: Adjoint, self-adjoint, and normal operators; the spectral ...

Adjoint operators and their properties, conjugate linearity, and dual spaces. • Self-adjoint operators, spectral theorems, and normal operators.

http://math.mit.edu

Why is every selfadjoint operator closed? - Mathematics Stack Exchange

Every selfadjoint operator is closed. But it's always been stated without a proof. Is it somehow obvious? I can't see it immediately from the graph ...

https://math.stackexchange.com

linear algebra - Non-negative operator & self-adjoint operator ...

Non-negative operator & self-adjoint operator [duplicate] · Ask Question. 0 ... Show that a positive operator on a complex Hilbert space is self-adjoint 2 answers.

https://math.stackexchange.com

self-adjoint operator in nLab

A Hermitean (or hermitian) operator is a bounded symmetric operator (which is necessarily self-adjoint), although some authors use the term for ...

https://ncatlab.org

Self-Adjoint -- from Wolfram MathWorld

The differential operators corresponding to the Legendre differential equation and the equation of simple harmonic motion are self-adjoint, while those ...

http://mathworld.wolfram.com