List questions from spectral-theory

Published on 28 Mar 2026 - 5:22

44

Views

Do vectors uniquely determine their spectral measures?

Published on 29 Mar 2023 - 17:23

71

Views

What are the conditions for a non-Hermitian matric's Rayleigh quotient to be less than its maximum eigenvalue?

Published on 25 Mar 2026 - 22:05

75

Views

Prove the following assertion:

Published on 02 Apr 2023 - 10:52

120

Views

Determine residual spectrum of a linear operator on $\ell^2$

Published on 02 Apr 2023 - 19:47

119

Views

Is there a notion of the spectrum of $L^1$ functions and does it correspond with the support of a random variable?

Published on 25 Mar 2026 - 11:16

51

Views

Is $\langle x,Ax\rangle\leq \langle x,|A|x\rangle$ in a complex Hilbert space for compact $A$?

Published on 30 Mar 2026 - 2:06

90

Views

If $0\leq A\leq B$ then does $0\leq A^2\leq B^2$?

Published on 30 Mar 2026 - 2:06

32

Views

Is it true that $|AQA|\leq A|Q|A$ if $A,Q$ are compact self-adjoint operators with $A\geq 0$?

Published on 30 Mar 2026 - 2:07

73

Views

If $0\leq A\leq B$ then does $0\leq A^{\frac{1}{2}}\leq B^{\frac{1}{2}}$?

Published on 30 Mar 2026 - 2:07

58

Views

If $T\geq 0$ then $|\langle x,STx\rangle|\leq\|S\|\langle x,Tx\rangle$

Published on 30 Mar 2026 - 4:41

63

Views

An inequality for Schatten norms with a compact self-adjoint operator

Published on 30 Mar 2026 - 4:39

33

Views

Operators on Hilbert Space in Integral

Published on 23 Feb 2026 - 8:35

66

Views

Eigenvalue bounds on $2\times 2$ block matrix with diagonal off-diagonals

Published on 26 Mar 2026 - 22:14

39

Views

Commutativity of operators in Banach spaces

Published on 11 Apr 2023 - 22:51

List Question

If $A$ is a unital Banach algebra, how is $\sigma_A(a)$ related to $\sigma_{A^e}(a)$?

Do vectors uniquely determine their spectral measures?

What are the conditions for a non-Hermitian matric's Rayleigh quotient to be less than its maximum eigenvalue?

Prove the following assertion:

Determine residual spectrum of a linear operator on $\ell^2$

Is there a notion of the spectrum of $L^1$ functions and does it correspond with the support of a random variable?

Is $\langle x,Ax\rangle\leq \langle x,|A|x\rangle$ in a complex Hilbert space for compact $A$?

If $0\leq A\leq B$ then does $0\leq A^2\leq B^2$?

Is it true that $|AQA|\leq A|Q|A$ if $A,Q$ are compact self-adjoint operators with $A\geq 0$?

If $0\leq A\leq B$ then does $0\leq A^{\frac{1}{2}}\leq B^{\frac{1}{2}}$?

If $T\geq 0$ then $|\langle x,STx\rangle|\leq\|S\|\langle x,Tx\rangle$

An inequality for Schatten norms with a compact self-adjoint operator

Operators on Hilbert Space in Integral

Eigenvalue bounds on $2\times 2$ block matrix with diagonal off-diagonals

Commutativity of operators in Banach spaces

Trending Questions

Popular # Hahtags

Popular Questions