A note on k-quasi-*-paranormal operators

作者：Hoxha Ilmi; Braha Naim L^*

来源：Journal of Inequalities and Applications, 2013, 2013(1): 350.

DOI：10.1186/1029-242X-2013-350

• *-paranormal operators
• k-quasi-*-paranormal operators

Let T be a bounded linear operator on a complex Hilbert space H. In this paper we introduce a new class of operators satisfying
parallel to T*T(k)x parallel to(2) <= parallel to T(k+2)x parallel to parallel to T(k)x parallel to
for all x is an element of H, where k is a natural number. This class includes the classes of *-paranormal and k-quasi-*-class A. We prove some of the properties of these operators.

• 出版日期2013