Abstract. The paper deals with Schatten--von Neumann operators in a Hilbert space. A sharp perturbation bound for invariant subspaces is established. It can be considered as a particular generalization of the Davis--Kahan theorem.

DOI: 10.14232/actasm-015-514-y

AMS Subject Classification (1991): 47A15, 47A55, 47B10

Keyword(s): Hilbert space, compact operators, invariant subspaces, perturbations

Received February 22, 2015, and in revised form April 27, 2015. (Registered under 14/2015.)