Skip to main content
MathOverflow

Return to Question

fixed spelling
Source Link
GH from MO
GH from MO
  • 105.2k
  • 8
  • 292
  • 398

is 1 Is $1/max\max(i,j)$ a bounded matrix on hilbertHilbert spaces?

I would like to know if the infinite matrix $[\frac{1}{\max(i,j)}]_{i,j\geq 1}$ represents a bounded operator on $\ell^2(\mathbb{N}^\star)$. It would be sufficient to know if the Lehmer matrix $[\frac{\min(i,j)}{\max(i,j)}]_{i,j\geq 1}$ is bounded on $\ell^2(\mathbb{N}^\star)$.

Thanks,.

is 1/max(i,j) a bounded matrix on hilbert spaces?

I would like to know if the infinite matrix $[\frac{1}{\max(i,j)}]_{i,j\geq 1}$ represents a bounded operator on $\ell^2(\mathbb{N}^\star)$. It would be sufficient to know if the Lehmer matrix $[\frac{\min(i,j)}{\max(i,j)}]_{i,j\geq 1}$ is bounded on $\ell^2(\mathbb{N}^\star)$.

Thanks,

Is $1/\max(i,j)$ a bounded matrix on Hilbert spaces?

I would like to know if the infinite matrix $[\frac{1}{\max(i,j)}]_{i,j\geq 1}$ represents a bounded operator on $\ell^2(\mathbb{N}^\star)$. It would be sufficient to know if the Lehmer matrix $[\frac{\min(i,j)}{\max(i,j)}]_{i,j\geq 1}$ is bounded on $\ell^2(\mathbb{N}^\star)$.

Thanks.

Source Link
django
django
  • 111
  • 1

is 1/max(i,j) a bounded matrix on hilbert spaces?

I would like to know if the infinite matrix $[\frac{1}{\max(i,j)}]_{i,j\geq 1}$ represents a bounded operator on $\ell^2(\mathbb{N}^\star)$. It would be sufficient to know if the Lehmer matrix $[\frac{\min(i,j)}{\max(i,j)}]_{i,j\geq 1}$ is bounded on $\ell^2(\mathbb{N}^\star)$.

Thanks,