# 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