Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2015.55.3.531
Title & Authors
Weyl Type Theorems for Unbounded Hyponormal Operators GUPTA, ANURADHA; MAMTANI, KARUNA;
If T is an unbounded hyponormal operator on an infinite dimensional complex Hilbert space H with , then it is shown that T satisfies Weyl`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 .