Functional Analysis Group

Research Interests

The interests of the group are diverse, ranging from operator algebras, operator systems and topological aspects of the theory of Banach spaces, through to the theory of unbounded operators and topics bordering on probability and differential equations. See the members page for further information about members' research interests. There are also connections with other research groups in  Nonlinear PDEs and the associated Centre for Doctoral Training in PDEs, Stochastic Analysis and Analytic Topology.


Under normal times there is a  Functional Analysis Seminar on some Tuesdays during term at 4.00pm. During the covid pandemic we are part of a fortnightly virtual meeting on thursdays as part of the UK virtual operator algebras seminar.


The group is a member of the North British Functional Analysis Seminar (NBFAS).  

From 2006 until 2010 the group was also a partner in the (now defunct) EU Programme on Operator Theory Methods for Differential Equations (TODEQ).  From 2013 to 2016 the group was a member of  an EU International Research Staff Exchange Scheme (IRSES) project on Asymptotics of Operator Semigroups.

Recent workshops and meetings

An NBFAS meeting was held in Oxford on 1 and 2 November 2018, with Sylvie Monniaux (Aix-Marseille, France) and Mark Veraar (Delft, Netherlands) as speakers.   There was also an associated workshop for early career researchers.

A conference entitled 'Operator Semigroups meet Complex Analysis, Harmonic Analysis and Mathematical Physics' was held between 3 and 7 June 2013 in Herrnhut, Germany. The conference was in honour of Professor Charles Batty's 60th birthday.

The 2012 edition of the Young Functional Analysts' Workshop (YFAW) was in Oxford on 21 and 22 March.

The workshop was followed by a meeting of the North British Functional Analysis Seminar (NBFAS) on 23 and 24 March 2012, with Magdalena Musat (University of Copenhagen, Denmark), Gilles Pisier (Paris VI University, France, and Texas A&M University, USA) and Mikael Rørdam (University of Copenhagen, Denmark) as speakers.

A workshop on 'Asymptotics of Operator Semigroups' was held in St John's College on 2, 3 and 4 September 2009.  Click here for further details.


The group is based in the Mathematical Institute, University of Oxford. Instructions on how to reach the Institute can be found here.

Useful Links

A collection of useful functional analysis resources on the internet can be found at the Links Page. Information about vacancies in the Oxford University Mathematical Institute can be found here.


The second edition of the book Vector-valued Laplace Transforms and Cauchy Problems by Arendt, Batty, Hieber, Neubrander is available from Birkhäuser.

Photos page

Some photographs of members of the functional analysis group can be found on the Photos Page.