Koç University, Mathematics Seminar

Date & Time: Thursday, March 31, 16:00-17:00

Place: SCI 129

Speaker: Mert Çağlar (İstanbul Kültür University)

Title: The Invariant Subspace Problem via Compact-Friendly-Like Operators: A Survey

Abstract: The celebrated result of Victor Lomonosov on the existence of non-trivial closed hyperinvariant subspaces for compact Banach space operators gave rise to the introduction of a new notion in the area of positivity, that of compact-friendliness, which motivated a huge amount of research pertaining to the invariant subspace problem for positive operators on Banach lattices. The talk aims to survey these results in connection with the ones obtained during the past few years in collaboration with Tunç Mısırlıoğlu of İstanbul Kültür University.

Speaker's Brief Biography: Mert Çağlar obtained his B.Sc. degree from Marmara University and his M.Sc. and Ph.D. degrees from Middle East Technical University in 1998, 2001 and 2005, respectively. His research mainly focuses on the invariant subspace problem for positive operators on partially ordered structures. He is currently affiliated with the Department of Mathematics and Computer Science of İstanbul Kültür University.