Weyl Type Theorems for Unbounded Hyponormal Operators
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If T is an unbounded hyponormal operator on an in¯nite dimensional complex Hilbert space H with ½(T) 6= Á, then it is shown that T satis¯esWeyl's theorem, generalized Weyl's theorem, Browder's theorem and generalized Browder's theorem. The equivalence of generalized Weyl's theorem with generalized Browder's theorem, property (gw) with property (gb) and property (w) with property (b) have also been established. It is also shown that a-Browder's theorem holds for T as well as its adjoint T*.
Abstract
If T is an unbounded hyponormal operator on an in¯nite dimensional complex Hilbert space H with ½(T) 6= Á, then it is shown that T satis¯esWeyl's theorem, generalized Weyl's theorem, Browder's theorem and generalized Browder's theorem. The equivalence of generalized Weyl's theorem with generalized Browder's theorem, property (gw) with property (gb) and property (w) with property (b) have also been established. It is also shown that a-Browder's theorem holds for T as well as its adjoint T*.
참고문헌 (15)
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