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Mathematics

D-Index
36
Citations
4692
World Ranking
2669
National Ranking
1097

Research.com Recognitions

  • 2010 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Raúl E. Curto is affiliated with the University of Iowa in the United States and has made significant contributions to the field of mathematics, particularly within applied mathematics. Their research encompasses a variety of subfields including mathematical physics, algebra and number theory, computational theory and mathematics, and statistics and probability.

Their work covers main topics such as:

  • Holomorphic and Operator Theory
  • Advanced Topics in Algebra
  • Spectral Theory in Mathematical Physics
  • Algebraic and Geometric Analysis
  • Matrix Theory and Algorithms
  • Meromorphic and Entire Functions
  • Advanced Operator Algebra Research

The scientist has published extensively, with recent papers including:

  • The Beurling-Lax-Halmos theorem for infinite multiplicity (2020, Journal of Functional Analysis)
  • The spectral picture and joint spectral radius of the generalized spherical Aluthge transform (2022, Advances in Mathematics)
  • Operator-valued rational functions (2022, Journal of Functional Analysis)
  • Conditional positive definiteness as a bridge between k-hyponormality and n-contractivity (2021, Linear Algebra and its Applications)
  • The truncated moment problem for unital commutative R-algebras (2023, Journal of Operator Theory)

Raúl E. Curto has coauthored work frequently with scholars such as Chafiq Benhida, Jasang Yoon, George R. Exner, In Sung Hwang, and Woo Young Lee.

Their contributions have appeared in numerous publication venues, notably:

  • arXiv (Cornell University)
  • Complex Analysis and Operator Theory
  • Journal of Functional Analysis
  • Linear Algebra and its Applications
  • Integral Equations and Operator Theory

Among their book publications, one is titled Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology, published by Springer Nature in 2020.

Raúl E. Curto has been recognized as a Fellow of the American Association for the Advancement of Science (AAAS), an honor received in 2010.

Best Publications

  • Solution of the truncated complex moment problem for flat data

    Raúl E. Curto;Lawrence A. Fialkow

  • The truncated complex -moment problem

    Raúl Curto;Lawrence A. Fialkow

  • Truncated K-moment problems in several variables

    Raul E. Curto;Lawrence A. Fialkow

  • Generalized Bergman Kernels and the Cowen-Douglas Theory

    Raul E. Curto;Norberto Salinas

  • Fredholm and invertible -tuples of operators. The deformation problem

    Raul E. Curto

  • Recursively generated weighted shifts and the subnormal completion problem, II

    Raúl E. Curto;Lawrence A. Fialkow

  • Flat Extensions of Positive Moment Matrices: Recursively Generated Relations

    Raúl E. Curto;Lawrence A. Fialkow

  • Quadratically hyponormal weighted shifts

    Unknown

  • Hyponormal Pairs of Commuting Operators

    Raúl E. Curto;Paul S. Muhly;Jingbo Xia

  • Mathematical models of purine metabolism in man

    Raul Curto;Eberhard O. Voit;Albert Sorribas;Marta Cascante

  • Comparative characterization of the fermentation pathway of Saccharomyces cerevisiae using biochemical systems theory and metabolic control analysis: model definition and nomenclature.

    Raul Curto;Albert Sorribas;Marta Cascante

  • Recursively generated weighted shifts and the subnormal completion problem

    Unknown

  • Standard Operator Models in the Polydisc, II

    R. E. Curto;F. H. Vasilescu

  • Weyl's Theorem for Algebraically Paranormal Operators

    Raúl E. Curto;Young Min Han

  • Nearly Subnormal Operators and Moment Problems

    R.E. Curto;M. Putinar

  • Cross Products of Strongly Morita Equivalent C # -Algebras

    Ra{úl E. Curto;Paul S. Muhly;Dana P. Williams

  • Flat Extensions of Positive Moment Matrices: Relations in Analytic or Conjugate Terms

    Raúl E. Curto;Lawrence A. Fialkow

  • Joint Hyponormality of Toeplitz Pairs

    Raúl E. Curto;Woo Young Lee

  • Analysis of abnormalities in purine metabolism leading to gout and to neurological dysfunctions in man

    Raul Curto;O. Eberhard Voit;Marta Cascante

  • An analogue of the Riesz–Haviland theorem for the truncated moment problem

    Raúl E. Curto;Lawrence A. Fialkow

  • Solution of the Truncated Hyperbolic Moment Problem

    Raúl E. Curto;Lawrence A. Fialkow

  • WEYL'S THEOREM, $a$-WEYL'S THEOREM, AND LOCAL SPECTRAL THEORY

    Raúl E. Curto;Young Min Han

Frequent Co-Authors

Paul S. Muhly
Paul S. Muhly University of Iowa
Marta Cascante
Marta Cascante University of Barcelona
Mihai Putinar
Mihai Putinar University of California, Santa Barbara
Themistocles M. Rassias
Themistocles M. Rassias National Technical University of Athens
Palle E. T. Jorgensen
Palle E. T. Jorgensen University of Iowa
Endre Pap
Endre Pap Singidunum University
Richard S. Varga
Richard S. Varga Kent State University
Mohammad Sal Moslehian
Mohammad Sal Moslehian Ferdowsi University of Mashhad
Raytcho Lazarov
Raytcho Lazarov Texas A&M University
Athel Cornish-Bowden
Athel Cornish-Bowden Centre national de la recherche scientifique, CNRS

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