Analysis and Probability Seminar: Garth Dales
Wednesday 31 October 2018, 3:10pm to 4:10pm
Venue
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Maximal left ideals in Banach algebras
Let A be a Banach algebra, and let M be a maximal left ideal in A. It is easy to see that often M must be closed and that sometimes it can be dense, with codimension 1. It has been conjectured that these are the only two possibilities. This is true for many classes of Banach algebras, including all commutative ones. But we construct a counter-example: given n ∈ N, there is a Banach algebra with a dense maximal left ideal of codimension n. I do not know if we can find an example where the maximal left ideal has infinite codimension. This is joint work with M. Cabrera Garcoia and A. Rodriguez Palacios of Granada.
Speaker
Garth Dales
Lancaster University
Contact Details
Name | Dirk Zeindler |
Telephone number |
+44 1524 593644 |