On the class of k-quasi-(n, m)-power normal operators

PROPERTY (ω) AND QUASI-CLASS (A,k) OPERATORS

In this paper, we prove the following assertions: (i) If T is of quasiclass (A, k), then T is polaroid and reguloid; (ii) If T or T ∗ is an algebraically of quasi-class (A, k) operator, then Weyls theorem holds for f(T ) for every f ∈ Hol(σ(T )); (iii) If T ∗ is an algebraically of quasi-class (A, k) operator, then a-Weyls theorem holds for f(T ) for every f ∈ Hol(σ(T )); (iv) If T ∗ is algebra...

Separating partial normality classes with weighted composition operators

In this article, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $L^{2}(Sigma)$ such as, $n$-power normal, $n$-power quasi-normal, $k$-quasi-paranormal and quasi-class$A$. Then we show that weighted composition operators can separate these classes.

On the Rational Recursive Sequence X_{N+1}=ƔX_{N-K}+(AX_N+BX_{N-K})⁄(CX_N-DX_{N-K})

ON N(k)-QUASI EINSTEIN MANIFOLDS

N(k)-quasi Einstein manifolds are introduced and studied.

ON N(k)−QUASI EINSTEIN MANIFOLD

In the present paper we have studied an N(k)-quasi Einstein manifold satisfying R(ξ, X).P̃ , where P̃ is the pseudo-projective curvature tensor. Among others, it is shown that if quasi-Einstein manifold with constant associated scalars is Ricci symmetric then the generator of the manifold is a Killing vector field. AMS Mathematics Subject Classification (2000): 53C25