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Mathematics

D-Index
39
Citations
6746
World Ranking
2188
National Ranking
52

Overview

Fedor Sukochev is a researcher affiliated with the University of New South Wales in Australia. Their work focuses primarily on the field of mathematics, with particular contributions in mathematical physics, applied mathematics, algebra and number theory, statistics and probability, and geometry and topology.

The researcher's activity spans several specialized topics, including:

  • Advanced Operator Algebra Research
  • Advanced Banach Space Theory
  • Holomorphic and Operator Theory
  • Spectral Theory in Mathematical Physics
  • Advanced Harmonic Analysis Research
  • Advanced Topics in Algebra
  • Mathematical Analysis and Transform Methods

Sukochev has published numerous papers, with recent notable works including:

  • "Geometry of Banach limits and their applications," 2020, Russian Mathematical Surveys
  • "A last theorem of Kalton and finiteness of Connes' integral," 2020, Journal of Functional Analysis
  • "When do triple operator integrals take value in the trace class?", 2021, Annales de l'institut Fourier
  • "Logarithmic submajorization, uniform majorization and Hölder type inequalities for τ-measurable operators," 2020, Indagationes Mathematicae
  • "Inequalities for the block projection operators," 2020, Journal of Functional Analysis

The venues where Sukochev frequently publishes include:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Journal of Mathematical Analysis and Applications
  • Proceedings of the American Mathematical Society
  • Advances in Mathematics

Co-authorship is a significant aspect of Sukochev's research, with frequent collaborations involving:

  • Dmitriy Zanin
  • Jinghao Huang
  • D. Zanin
  • Edward McDonald
  • Marat Pliev

In addition to articles, Sukochev has contributed to book publications, including:

  • Noncommutative Integration and Operator Theory, published by Birkhäuser in 2023
  • The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators, published by Memoirs of the European Mathematical Society in 2023
  • Principal Symbol Calculus on Contact Manifolds, published by Springer Nature in 2024

Best Publications

  • Schauder decompositions and multiplier theorems

    Ppje Clément;B de Pagter;F Sukochev;H Witvliet

  • Singular Traces: Theory and Applications

    Steven Lord;Fedor Sukochev;Dmitriy Zanin

  • Symmetric norms and spaces of operators

    N. J. Kalton;F. A. Sukochev

  • Operator-Lipschitz functions in Schatten-von Neumann classes

    Denis Potapov;Fedor Sukochev

  • Spectral flow and Dixmier traces

    Alan Carey;John Phillips;Fedor A Sukochev

  • The local index formula in semifinite Von Neumann algebras I: Spectral flow

    Alan Carey;John Phillips;Adam Charles Rennie;Fedor A Sukochev

  • Completeness of quasi-normed symmetric operator spaces☆

    Fedor Sukochev

  • Operator Integrals, Spectral Shift, and Spectral Flow

    N A Azamov;Alan Carey;Peter Dodds;Fedor A Sukochev

  • The local index formula in semifinite von Neumann algebras II: the even case

    Alan Carey;John Phillips;Adam Charles Rennie;Fedor A Sukochev

  • Series of independent random variables in rearrangement invariant spaces: An operator approach

    S. V. Astashkin;F. A. Sukochev

  • Symmetric Functionals and Singular Traces

    P.G. Dodds;B. de Pagter;E.M. Semenov;F.A. Sukochev

  • Index Theory for Locally Compact Noncommutative Geometries

    Alan Carey;V. Gayral;Adam Rennie;Fedor A Sukochev

  • The Dixmier trace and asymptotics of zeta functions

    Alan Carey;Adam Charles Rennie;Aleksandr Sedaev;Fedor A Sukochev

  • The Hochschild class of the Chern character for semifinite spectral triples

    Alan Carey;John Phillips;Adam Charles Rennie;Fedor A Sukochev

  • Spectral shift function of higher order

    Denis Potapov;Anna Skripka;Fedor Sukochev

  • Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces

    P.G Dodds;T.K Dodds;B de Pagter;F.A Sukochev

  • An analytic approach to spectral flow in von Neumann algebras

    Moulay-Tahar Benameur;Alan Carey;John Phillips;Adam Charles Rennie

  • Unbounded Fredholm modules and double operator integrals

    D. Potapov;F. Sukochev

  • Banach Embedding Properties of Non-Commutative Lp-Spaces

    U. Haagerup;Haskell P. Rosenthal;F. A. Sukochev

  • Non-trivial derivations on commutative regular algebras

    A. F. Ber;V. I. Chilin;F. A. Sukochev

  • Functions of normal operators under perturbations

    Alexei Aleksandrov;Vladimir Peller;Denis Potapov;Fedor Sukochev

Frequent Co-Authors

Alan L. Carey
Alan L. Carey Australian National University
Fritz Gesztesy
Fritz Gesztesy Baylor University
Ken Dykema
Ken Dykema Texas A&M University
Alain Connes
Alain Connes Collège de France
Marius Junge
Marius Junge University of Illinois at Urbana-Champaign
Uffe Haagerup
Uffe Haagerup University of Copenhagen
Haskell P. Rosenthal
Haskell P. Rosenthal The University of Texas at Austin
Nigel J. Kalton
Nigel J. Kalton University of Missouri
Quanhua Xu
Quanhua Xu Harbin Institute of Technology
Peter N. Dodds
Peter N. Dodds Commonwealth Scientific and Industrial Research Organisation

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