Course details
Semester
 Autumn 2024
 Monday, October 7th to Friday, December 13th
Hours
 Live lecture hours
 20
 Recorded lecture hours
 0
 Total advised study hours
 80
Timetable
 Wednesdays
 12:05  12:55 (UK)
 Wednesdays
 13:05  13:55 (UK)
Description
There will be an emphasis on positivity and on matrices of operators.
The course includes some basic introductory material on Banach spaces and Banach algebras. It also includes some elementary (infinite dimensional) linear algebra that is usually excluded from undergraduate curricula.
Here is a very brief list of the many further topics that this course anticipates:
 C*algebras, von Neumann algebras and operator spaces (which may be viewed respectively as noncommutative topology, noncommutative measure theory and `quantised' functional analysis)
 Hilbert C*modules
 noncommutative probability (e.g. free probability), the theory of quantum computing, dilation theory
 unbounded Hilbert space operators, oneparameter semigroups and Schrodinger operators.
And that is without starting to mention Applied Maths, Engineering and Statistics applications...
G. K. Pedersen, Analysis Now (Springer, 1988)
Prerequisites
Syllabus
Lecturer

ML
Professor Martin Lindsay
 University
 University of Lancaster
Bibliography
No bibliography has been specified for this course.
Assessment
The assessment for this course will be released on Monday 13th January 2025 at 00:00 and is due in before Friday 24th January 2025 at 11:00.
Assessment for all MAGIC courses is via takehome exam which will be made available at the release date (the start of the exam period).
You will need to upload a PDF file with your own attempted solutions by the due date (the end of the exam period).
If you have kept uptodate with the course, the expectation is it should take at most 3 hoursâ€™ work to attain the pass mark, which is 50%.
Please note that you are not registered for assessment on this course.
Files
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Lectures
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