List questions from adjoint-operators

Published on 29 Dec 2015 - 23:02

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Proving that the eigenvalues of $T^*T$ is non-negative

Published on 02 Jan 2016 - 4:07

94

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Spectrum $\sigma(T)$ of $T:l^1 \to l^1$ given by $T((a_j))=\left( \sum_{j=2}^{\infty} a_j \right) e_1 + \sum_{j=2}^{\infty} a_{j-1} e_j$

Published on 15 Jan 2016 - 10:39

127

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Eigen values and self adjoin operator

Published on 10 Feb 2016 - 21:28

261

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Is there any way to find an explicit formula for the adjoint of a linear transformation?

Published on 28 Feb 2016 - 22:33

1.9k

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Prove that $R(T^{*})^\perp =N(T)$

Published on 29 Feb 2016 - 3:48

654

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The adjoint of a linear isometry on normed space is surjective

Published on 04 Mar 2016 - 11:12

336

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adjoint method for computing derivatives

Published on 11 Mar 2016 - 4:07

27

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Finding two adjoints, and showing boundedness of operators

Published on 12 Mar 2016 - 19:22

987

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Exponential of a self-adjoint operator

Published on 24 Feb 2026 - 0:46

470

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How do I show that if is normal, then if T is a projection then it must be an orthogonal projection?

Published on 14 Mar 2016 - 22:13

3.5k

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Prove that if $A=A^*$ then there exists an orthonormal basis of eigenvectors with real eigenvalues

Published on 26 Mar 2016 - 1:30

351

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Definition of adjoint operator

Published on 26 Mar 2016 - 3:01

60

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Are all adjoints lattice homomorphisms?

Published on 26 Mar 2016 - 20:16

101

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Hodge decomposition thm. Why $\Delta(E^p)=d\delta(E^p)\oplus\delta d(E^p)=d(E^{p-1})\oplus\delta(E^{p+1})?$

Published on 26 Mar 2026 - 23:09

List Question

Relating ${\rm ad}(\phi(X))$ with $\phi \circ\,{\rm ad}(X) \circ \phi^{-1}$.

Proving that the eigenvalues of $T^*T$ is non-negative

Spectrum $\sigma(T)$ of $T:l^1 \to l^1$ given by $T((a_j))=\left( \sum_{j=2}^{\infty} a_j \right) e_1 + \sum_{j=2}^{\infty} a_{j-1} e_j$

Eigen values and self adjoin operator

Is there any way to find an explicit formula for the adjoint of a linear transformation?

Prove that $R(T^{*})^\perp =N(T)$

The adjoint of a linear isometry on normed space is surjective

adjoint method for computing derivatives

Finding two adjoints, and showing boundedness of operators

Exponential of a self-adjoint operator

How do I show that if is normal, then if T is a projection then it must be an orthogonal projection?

Prove that if $A=A^*$ then there exists an orthonormal basis of eigenvectors with real eigenvalues

Definition of adjoint operator

Are all adjoints lattice homomorphisms?

Hodge decomposition thm. Why $\Delta(E^p)=d\delta(E^p)\oplus\delta d(E^p)=d(E^{p-1})\oplus\delta(E^{p+1})?$

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