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Mathematics

D-Index
38
Citations
9462
World Ranking
2284
National Ranking
965

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1999 - Steele Prize for Lifetime Achievement
  • 1996 - Member of the National Academy of Sciences
  • 1969 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1958 - Fellow of Alfred P. Sloan Foundation

Overview

Richard V. Kadison is affiliated with the University of Pennsylvania in the United States. Their primary field of research is Mathematics, with a focus on several subfields including Mathematical Physics, Applied Mathematics, Algebra and Number Theory, and Numerical Analysis.

Their recent publications reflect ongoing contributions to various areas of mathematical research. Notable recent papers include:

  • A note on commutators in algebras of unbounded operators, 2020, Expositiones Mathematicae
  • Commutativity and Null Spaces of Unbounded Operators on Hilbert Space, 2023, arXiv (Cornell University)
  • Commutativity and null spaces of unbounded operators on Hilbert space, 2025, Communications on Pure & Applied Analysis

The main topics covered in their work are:

  • Advanced Operator Algebra Research
  • Advanced Topics in Algebra
  • Advanced Banach Space Theory
  • Differential Equations and Boundary Problems
  • Differential Equations and Numerical Methods
  • Algebraic and Geometric Analysis
  • Holomorphic and Operator Theory

Frequent collaborators in their research include Zhe Liu, Simon A. Levin, and Andreas Thom. This collaborative network indicates involvement in intertwined research projects across advanced areas of mathematics.

Publishing outlets frequently chosen for their work include Expositiones Mathematicae, arXiv (Cornell University), and Communications on Pure & Applied Analysis, reflecting engagement with both formal peer-reviewed journals and preprint repositories.

Richard V. Kadison's career includes recognition through several awards and honors, such as:

  • Fellow of the American Mathematical Society, 2013
  • Steele Prize for Lifetime Achievement, 1999
  • Member of the National Academy of Sciences, 1996
  • Fellow of John Simon Guggenheim Memorial Foundation, 1969
  • Fellow of Alfred P. Sloan Foundation, 1958

Their body of work is characterized by a focus on rigorous mathematical analysis and operator theory, contributing to a range of advanced algebraic and analytical topics with applications in mathematical physics and beyond.

Best Publications

  • Fundamentals of the Theory of Operator Algebras

    Richard Kadison;John Robert Ringrose

  • A Generalized Schwarz Inequality and Algebraic Invariants for Operator Algebras

    Richard V. Kadison

  • EXTENSIONS OF PURE STATES.

    Richard V. Kadison;I. M. Singer

  • A representation theory for commutative topological algebra

    Richard V. Kadison

  • Derivations of Operator Algebras

    Richard V. Kadison

  • Transformations of states in operator theory and dynamics

    Richard V. Kadison

  • Means and convex combinations of unitary operators.

    Richard V. Kadison;Gert K. Pedersen

  • Fundamentals of the Theory of Operator Algebras. Volume IV

    Richard Kadison;John R. Ringrose

  • Derivations and automorphisms of operator algebras

    Richard V. Kadison;John R. Ringrose

  • Order properties of bounded self-adjoint operators

    Richard V. Kadison

  • IRREDUCIBLE OPERATOR ALGEBRAS

    Richard V. Kadison

  • Fundamentals of the Theory of Operator Algebras, Volume II: Advanced Theory

    Richard Kadison;John Ringrose

  • Cohomology of operator algebras. III : reduction to normal cohomology

    B.E. Johnson;Richard V. Kadison;John R. Ringrose

  • Unitary operators in $C^{st}$-algebras.

    James G. Glimm;Richard Vincent Kadison

  • Triangular Operator Algebras: Fundamentals and Hyperreducible Theory

    Richard V. Kadison;I. M. Singer

  • Nets of C *-algebras and classification of states

    R. Haag;R. V. Kadison;D. Kastler

  • On the Orthogonalization of Operator Representations

    Richard V. Kadison

  • Unitary Invariants for Representations of Operator Algebras

    Richard V. Kadison

  • Perturbations of Von Neumann Algebras I Stability of Type

    Richard V. Kadison;Daniel Kastler

  • The Pythagorean Theorem: I. The finite case

    Richard V. Kadison

Frequent Co-Authors

Gert K. Pedersen
Gert K. Pedersen University of Copenhagen
James Glimm
James Glimm Stony Brook University
Uffe Haagerup
Uffe Haagerup University of Copenhagen
William Arveson
William Arveson University of California, Berkeley

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