Zobrazeno 1 - 10
of 225
pro vyhledávání: '"Curto, Raúl E."'
Autor:
Curto, Raúl E., Prasad, Thankarajan
In this paper we attempt to lay the foundations for a theory encompassing some natural extensions of the class of subnormal operators, namely the $n$--subnormal operators and the sub-$n$--normal operators. We discuss inclusion relations among the abo
Externí odkaz:
http://arxiv.org/abs/2406.08319
In the study of the geometrically regular weighted shifts (GRWS) -- see [5] -- signed power representing measures (which we call Berger-type charges) played an important role. Motivated by their utility in that context, we establish a general theory
Externí odkaz:
http://arxiv.org/abs/2405.15000
Geometrically regular weighted shifts (in short, GRWS) are those with weights $\alpha (N,D)$ given by $\alpha_n (N,D) = \sqrt{\frac{p^n + N}{p^n + D}}$, where $p > 1$ and $(N,D)$ is fixed in the open unit square $ (-1, 1)\times (-1, 1)$. We study her
Externí odkaz:
http://arxiv.org/abs/2312.06390
For recursively generated shifts, we provide definitive answers to two outstanding problems in the theory of unilateral weighted shifts: the Subnormality Problem ({\bf SP}) (related to the Aluthge transform) and the Square Root Problem ({\bf SRP}) (w
Externí odkaz:
http://arxiv.org/abs/2310.13887
We study a general class of weighted shifts whose weights $\alpha$ are given by $\alpha_n = \sqrt{\frac{p^n + N}{p^n + D}}$, where $p > 1$ and $N$ and $D$ are parameters so that $(N,D) \in (-1, 1)\times (-1, 1)$. Some few examples of these shifts hav
Externí odkaz:
http://arxiv.org/abs/2309.05888
Autor:
Curto, Raúl E., Infusino, Maria
The realizability problem is a well-known problem in the analysis of complex systems, which can be modeled as an infinite-dimensional moment problem. More precisely, as a truncated $K-$moment problem where $K$ is the space of all possible configurati
Externí odkaz:
http://arxiv.org/abs/2305.10343
We study the time-dependent moments and associated polynomials arising from the partial differential equation $\partial_t f = \nu\Delta f + g\cdot\nabla f + h\cdot f$, and consider in detail the dual equation. For the heat equation we find that sever
Externí odkaz:
http://arxiv.org/abs/2211.04416
An outline of J\"org Eschmeier's main mathematical contributions is organized both on a historical perspective, as well as on a few distinct topics. The reader can grasp from our essay the dynamics of spectral theory of commutative tuples of linear o
Externí odkaz:
http://arxiv.org/abs/2207.14752
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2024 538(2)