Department of Mathematics

Mathematical Physics and Operator Algebras

  •  Lara Ismert, Embry–Riddle Aeronautical University
  •  A Liouville-esque theorem for a weakly-defined derivation on B(H)
  •  09/13/2022
  •  11:00 AM - 11:50 AM
  •  C304 Wells Hall
  •  Brent Nelson (banelson@msu.edu)

Liouville’s Theorem states that any bounded entire function on the complex plane is necessarily constant. In this talk, we discuss an analogous theorem for a weakly-defined derivation on B(H) studied in recent years by Erik Christensen. As a consequence, we provide new sufficient conditions for when two operators which satisfy the Heisenberg Commutation Relation must both be unbounded.

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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