List questions from self-adjoint-operators

Published on 06 Nov 2019 - 18:52

226

Views

Exponential of self-adjoint operator

Published on 08 Nov 2019 - 8:06

60

Views

Show that the symmetric operator $Sx:=(nx_n)_{n\in\mathbb N}$ on $\mathcal D(S):=\{x\in H:(nx_n)_{n\in\mathbb N}\in\ell^2\}$ is even self-adjoint

Published on 09 Nov 2019 - 15:47

496

Views

If $A$ is self-adjoint, then $\left\|A\right\|=\sup_{x\in H\setminus\{0\}}\frac{\langle Ax,x\rangle}{\left\|x\right\|^2}$

Published on 11 Nov 2019 - 20:13

97

Views

If $A$ is self-adjoint, then $\left\|A\right\|=\max_{\lambda\in\sigma(A)}|\lambda|$

Published on 12 Nov 2019 - 17:25

430

Views

Proof of a self-adjoint linear transformation

Published on 16 Nov 2019 - 23:45

606

Views

An operator that is normal but not self-adjoint

Published on 20 Nov 2019 - 6:55

1.4k

Views

Proving a Self-Adjoint Operator is an Orthogonal Projection

Published on 28 Nov 2019 - 3:43

21

Views

Optimize the contractivity of a self-adjoint operator on a closed subspace

Published on 28 Nov 2019 - 17:06

349

Views

Does there exist a basis of $\mathbb R^3$ consisting of eigenvectors of T?

Published on 05 Dec 2019 - 15:50

366

Views

Sum of Shift Operators

Published on 05 Dec 2019 - 19:37

208

Views

Bounded self-adjoint linear operator is injective...

Published on 05 Dec 2019 - 20:01

92

Views

checking if an endomorphism is self-adjoint.

Published on 05 Dec 2019 - 22:53

139

Views

Show $\sup_{0≤f∈L^2}\frac{\|Af\|_{L^2}}{\|f\|_{L^2}}=\sup_{0≤f∈L^2}\frac{⟨Af,f⟩_{L^2}}{\|f\|_{L^2}^2}$ for self-adjoint nonnegativity-preserving $A$

Published on 07 Dec 2019 - 20:23

28

Views

What will be the matrix of an anti-selfadjoint transformation in an orthonormal basis?

Published on 08 Dec 2019 - 21:29

List Question

A cyclic vector for the Dirichlet Laplacian on interval.

Exponential of self-adjoint operator

Show that the symmetric operator $Sx:=(nx_n)_{n\in\mathbb N}$ on $\mathcal D(S):=\{x\in H:(nx_n)_{n\in\mathbb N}\in\ell^2\}$ is even self-adjoint

If $A$ is self-adjoint, then $\left\|A\right\|=\sup_{x\in H\setminus\{0\}}\frac{\langle Ax,x\rangle}{\left\|x\right\|^2}$

If $A$ is self-adjoint, then $\left\|A\right\|=\max_{\lambda\in\sigma(A)}|\lambda|$

Proof of a self-adjoint linear transformation

An operator that is normal but not self-adjoint

Proving a Self-Adjoint Operator is an Orthogonal Projection

Optimize the contractivity of a self-adjoint operator on a closed subspace

Does there exist a basis of $\mathbb R^3$ consisting of eigenvectors of T?

Sum of Shift Operators

Bounded self-adjoint linear operator is injective...

checking if an endomorphism is self-adjoint.

Show $\sup_{0≤f∈L^2}\frac{\|Af\|_{L^2}}{\|f\|_{L^2}}=\sup_{0≤f∈L^2}\frac{⟨Af,f⟩_{L^2}}{\|f\|_{L^2}^2}$ for self-adjoint nonnegativity-preserving $A$

What will be the matrix of an anti-selfadjoint transformation in an orthonormal basis?

Trending Questions

Popular # Hahtags

Popular Questions