Generalized Property(ω)for Skew-diagonal Operator Matrices Mathrm
Dai Le · Journal of Henan Normal University · 2014
Generalized property(ω)holds for an operator Ton a Hilbert space when the complement in the approximate point of the upper semi-B-Weyl spectrum coincides with the isolated points of which are eigenvalues.In this paper,we explore how generalized property(ω1)and generalized property(ω)survives for 2×2skew-diagonal operator matrix on the Hilbert space.As an application,some useful corollaries are derived.