R. Curto

activity

20022005

most citedTruncated K-moment problems in several variables

139 citations · 140 across the 8 of their papers we have counts for

collaborators

Showing 2005Show all

4 papers · 1 filter

math.FA2005

k-hyponormality of multivariable weighted shifts

Raul E. Curto, Sang Hoon Lee, Jasang Yoon

We characterize joint k-hyponormality for 2-variable weighted shifts. Using this characterization we construct a family of examples which establishes and illustrates the gap betwee…

math.FA2005

Solution of the truncated hyperbolic moment problem

Raul E. Curto, Lawrence A. Fialkow

Let Q(x,y)=0 be an hyperbola in the plane. Given real numbers $β \equiv β^{2 n)} = {β_{ij}}_{i, j \geq 0, i + j \leq 2 n}$ , with $β_{00} > 0$ , the truncated Q-hyperbolic moment problem for βenta…

math.FA2005★ 139 cited

Truncated K-moment problems in several variables

Raul E. Curto, Lawrence A. Fialkow

Let $β \equiv β^{(2 n)}$ be an N-dimensional real multi-sequence of degree 2n, with associated moment matrix $M (n) \equiv M (n) (β)$ , and let $r := r ank M (n)$ …

math.FA2005

k-hyponormality of finite rank perturbations of unilateral weighted shifts

Raul E. Curto, Woo Young Lee

In this paper we explore finite rank perturbations of unilateral weighted shifts $W_{α}$ . First, we prove that the subnormality of $W_{α}$ is never stable under nonzero finite rank per…