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Dr Martin Mathieu

School of Mathematics and Physics
Dr Martin Mathieu

Dr Martin Mathieu

School of Mathematics and Physics

The area of research within Pure Mathematics Dr Mathieu has been involved in over the last number of years can be most adequately described as Noncommutative Functional Analysis.

Traditional Functional Analysis, as it was formed by Stefan Banach early in the 20th century on the basis of the work of many others, seeks to understand Banach spaces and operators between them. Noncommutative Functional Analysis grew out of the theory of C* -algebras, which are algebras of bounded linear operators on Hilbert space.

The new structure arises by enriching a Banach space with a 'noncommutative' structure allowing an embedding into a space of operators on Hilbert space. Being a subspace of an algebra whose multiplication is in general noncommutative, many new features appear for an operator space which are invisible or non-existent at the Banach space level.

Contact info

  • View Academic Profile
  • M.M@qub.ac.uk
  • +44 (0)28 9097 1321

Research Interests

Open to PhD applications in the field of

  • Analysis
  • Algebra
  • Topology

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Public outreach & key achievements

  • What is non–commutative Functional Analysis about?  The Irish Scientist Year Book, Oldbury Publ., Dublin 2004

Research students

PhD Title Interplay between noncommutative topology and operators on C*- algebras
Name Jürgen Schweizer
Year of Study  February 1997
   
PhD Title  Commutativity preserving mappings on C*- algebras
Name Ralf Banning
Year of Study  April 1998
   
PhD Title  Spectrally bounded operators on Banach algebras
Name Gerhard Schick
Year of Study  December 2001

 


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