Raúl E. Curto

most citedTruncated K-moment problems in several variables

139 citations · 140 across the 5 of their papers we have counts for

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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…

math.FA2004★ 1 cited

Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal

Raul Curto, Jasang Yoon

We construct three different families of commuting pairs of subnormal operators, jointly hyponormal but not admitting commuting normal extensions. Each such family can be used to a…