On an elementary operator with 2-isometric operator entries

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,...

Further inequalities for operator space numerical radius on 2*2 operator ‎matrices

‎We present some inequalities for operator space numerical radius of $2times 2$ block matrices on the matrix space $mathcal{M}_n(X)$‎, ‎when $X$ is a numerical radius operator space‎. ‎These inequalities contain some upper and lower bounds for operator space numerical radius.

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...

An Operator Extension of Bohr's inequality