Some results on {M^*}-paranormal operators‎

‎A Banach space T∈ B(X) is {M^*}-paranormal operators‎. {M^*}-paranormal operators have SVEP‎. ‎It is proved that {T^*}∈ B(X) has the single-valued extension property and T is transaloid‎ , ‎then a-Weyl s theorem holds for f(T) for (( every f∈ H (sigma (T .‎It is also proved that if {T^*} has the single-valued extension property‎ , ‎then the spectral mapping theorem holds for the Weyl s spectrum and for the essential approximate point spectrum