List questions from self-adjoint-operators

Published on 18 Jul 2021 - 19:28

541

Views

Why is $\langle Px,y\rangle=\langle x,P^*y\rangle$

Published on 24 Jul 2021 - 18:39

115

Views

Problem in understanding a proof of a version of spectral theorem for self-adjoint operators on Hilbert spaces.

Published on 26 Jul 2021 - 17:19

256

Views

From self adjoint, positive semi definite operator to square root?

Published on 29 Jul 2021 - 7:41

105

Views

What is the correct formula of the kernel of the A$^*$A

Published on 25 Mar 2026 - 15:43

101

Views

Image of a projection-valued measure is always positive?

Published on 04 Aug 2021 - 13:55

65

Views

Proving that $0 \in \sigma (A)$ whenever $T$ is normal and $0 \in \sigma (T).$

Published on 26 Mar 2026 - 4:34

40

Views

$B$ is self-adjoint s.t. $\langle Bx,x \rangle \geq 0$ Show that if $\langle Bv,v \rangle =0$ then $Bv=0$ for complex space.

Published on 09 Aug 2021 - 18:41

131

Views

Spectral theorem and inequality

Published on 09 Aug 2021 - 20:54

393

Views

Real part of a complex inner product is zero implies the imaginary part is also zero - why?

Published on 10 Aug 2021 - 15:28

1.1k

Views

Proving that a Normal operator with real eigenvalues is self adjoint

Published on 26 Mar 2026 - 0:58

2.7k

Views

Definition of skew-adjoint operator

Published on 26 Mar 2026 - 17:52

397

Views

Rayleigh quotient in the infinite-dimensional case

Published on 14 Aug 2021 - 22:01

49

Views

How to show that $A_m^s \to A^s$ if $A_m \to A\ $?

Published on 27 Aug 2021 - 8:42

131

Views

Prove that $f \left (\left \langle u, Au \right \rangle \right ) \leq \left \langle u, f(A) u \right \rangle.$

Published on 29 Aug 2021 - 4:28

List Question

Composition of unitary operator with its dual is the identity

Why is $\langle Px,y\rangle=\langle x,P^*y\rangle$

Problem in understanding a proof of a version of spectral theorem for self-adjoint operators on Hilbert spaces.

From self adjoint, positive semi definite operator to square root?

What is the correct formula of the kernel of the A$^*$A

Image of a projection-valued measure is always positive?

Proving that $0 \in \sigma (A)$ whenever $T$ is normal and $0 \in \sigma (T).$

$B$ is self-adjoint s.t. $\langle Bx,x \rangle \geq 0$ Show that if $\langle Bv,v \rangle =0$ then $Bv=0$ for complex space.

Spectral theorem and inequality

Real part of a complex inner product is zero implies the imaginary part is also zero - why?

Proving that a Normal operator with real eigenvalues is self adjoint

Definition of skew-adjoint operator

Rayleigh quotient in the infinite-dimensional case

How to show that $A_m^s \to A^s$ if $A_m \to A\ $?

Prove that $f \left (\left \langle u, Au \right \rangle \right ) \leq \left \langle u, f(A) u \right \rangle.$

Trending Questions

Popular # Hahtags

Popular Questions