International Journal of Functional Analysis, Operator Theory and Applications
-->
Abstract: Let Tbe a bounded linear operator on a Hilbert space H. An operator Tis called hereditarily absolute--paranormal if every
part of Tis absolute--paranormal. An
operator Tis called
algebraically hereditarily absolute--paranormal if there
exists a non-constant polynomial psuch that is
hereditarily absolute--paranormal. In this
paper, we study Weyl type theorems for hereditarily absolute--paranormal operators
and show that Weyl’s theorem holds for algebraically hereditarily absolute--paranormal operators.
Keywords and phrases: absolute--paranormal operator, Weyl’s theorem,
a-Weyl’s theorem, polaroid
operators, single valued extension property.
