Seminario di analisi matematica
ore
16:00
presso Aula Enriques
The Invariant Subspace Problem asks if every bounded, linear operator
on a complex Hilbert space has a non-trivial invariant subspace. In
spite of its simple statement, this is one of the most famous unsolved
problems on Operator Theory. We will present and skecth some of the
most important techniques that have been developed to try to answer
this question. In particular, we will discuss methods to provide
non-trivial invariant subspaces for some classes of operators (Compact
and Normal Operators) and methods to reduce the problem to the study
of lattices of non-trivial invariant subspaces for concrete operators
defined on spaces of analytic functions.