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.)
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