András Zsák

Part III Functional Analysis, Lent 2023

Course description pdf

Course notes (lectures 1-8) pdf

Examples Sheet 1 pdf   (Submit answers to questions 1 and 7 at the start of any lecture by Sat 11 Feb the latest.)

Examples Classes:   4pm-5.30pm on February 14, 28, March 14 and May 2 in MR3

Revision of basic linear analysis pdf

Notes on basic measure theory pdf

Notes on basic complex analysis pdf

Resumè on Hilbert Spaces and Spectral Theory pdf

Part IB Analysis and Topology, Michaelmas 2021

Examples Sheet 1   pdf

Examples Sheet 2   pdf

Examples Sheet 3   pdf

Examples Sheet 4   pdf

A special case of Lindelöf-Picard   pdf

Arbitrary product spaces (non-examinable)   pdf

Inverse Function Theorem (including the non-examinable part)   pdf

Local extrema and the Hessian (non-examinable)   pdf

Part II Linear Analysis supervisions, Michaelmas 2021

Below is the list of my examples sheets from Michaelmas 2014. Start with the lecturer's sheet . If you need some further challenging questions look at my sheets. I have included some suggestions but feel free to make your own choice. The plus questions are particularly recommended. The additional sheet has lots of questions. Ask me in supervision if you need some guidance on what to try or if you need some explanation concerning notation or terminology.

Examples Sheet 1   pdf   questions 10, 12, 14

Examples Sheet 2   pdf   questions 6, 8, 9, 10, 12, 13, 14

Examples Sheet 3   pdf   questions 9, 10, 11, 13, 14

Examples Sheet 4   pdf   questions 9, 11, 12, 14

More questions   pdf