On an elementary operator with w-hyponormal operator entries

On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$

In the present paper, the ne spectrum of the Zweier matrix as anoperator over the weighted sequence space `p(w); have been examined.

On an integral operator

In this paper we define a general integral operator for analytic functions in the open unit disk and we determine some conditions for univalence of this integral operator.

Subspace gaps and Weyl's theorem for an elementary operator

A range-kernal orthogonality property is established for the elementary operators (X) = ∑n i=1AiXBi and ∗(X) = ∑n i=1A ∗ i XB ∗ i , where A = (A1,A2, . . . ,An) and B = (B1,B2, . . . ,Bn) are n-tuples of mutually commuting scalar operators (in the sense of Dunford) in the algebra B(H) of operators on a Hilbert space H . It is proved that the operator satisfies Weyl’s theorem in the case in whic...

Spectral Decomposition of an Elementary 3-fermion 2-body Operator

The eigenvalues and eigenfunctions of an elementary 3-fermion 2-body operator 3P 2 g ∧ I ≡ A ∑ 1≤i<j≤3 P 2 g (i, j)A 3 acting on a 3-particle antisymmetric finite dimensional Hilbert space have been found. Here P 2 g denotes the projection operator onto a 2-particle antisymmetric function g, while A denotes the 3-particle antisymmetrizing operator. keywords: spectral decomposition of operators,...

An Operator Extension of Bohr's inequality