WEYL@S THEOREMS FOR POSINORMAL OPERATORS DUGGAL BHAGWATI PRASHAD; KUBRUSLY CARLOS;
An operator T belonging to the algebra B(H) of bounded linear transformations on a Hilbert H into itself is said to be posinormal if there exists a positive operator such that . A posinormal operator T is said to be conditionally totally posinormal (resp., totally posinormal), shortened to , if to each complex number, there corresponds a positive operator such that (resp., if there exists a positive operator P such that . This paper proves Weyl's theorem type results for TP and CTP operators. If , if is isoloid and if denotes either of the elementary operators , then it is proved that satisfies Weyl's theorem and theorem.