This course is in four parts, run jointly between York and Leeds, and is aimed at first year graduate students, although of course anyone else is also welcome to attend.
Weeks 1-3 in York Simon Eveson
A brief introduction to Banach spaces, their duals, and
Wednesday 10 and 17 October, 14:00-15:30 in G/010, Wednesday 24 October 11:30-13:00 in V/131.
Literature: Rudin Real and complex analysis, Hewitt and Stromberg Real and Abstract Analysis, Diestel Sequences and series in Banach spaces.
Notes for this section are available in PostScript. There is also a list of errata for the printed version (the PostScript file linked to above has been corrected).
Weeks 4-5 in York Sandra Pott
Harmonic functions and Hp spaces.
Wednesday 31 October 11:30-13:00 in V/131, Wednesday 7 November 14:30-16:00 in G/010.
Literature: Rudin Real and complex analysis, Garnett Bounded analytic functions, Douglas Banach algebra techniques in operator theory, Young An introduction to Hilbert space.
Notes for this section are available in PostScript.
Weeks 6-7 in Leeds
Tuesday 13 and 20 November 11:00-12:00 in Classroom D and 14:00-15:00 in Tutorial Room 4. IMPORTANT: 20th November lecture CANCELLED.
Weeks 8-9 in Leeds
Tuesday 27 November and Tuesday 4 December 13:00-15:00 in Tutorial Room 4.
Literature: Douglas Banach Algebra Techniques in Operator Theory, Nikolski Treatise on the Shift Operator.
Week 10 in Leeds
Tuesday 11 December 13:00-15:00 in Tutorial Room 4.