期刊: OPERATORS AND MATRICES, 2021; 15 (2)
We mainly generalize a norm inequality of nxn block accretive-dissipative matrices. This complements the results of Kittaneh [10, Theorem 2.4] and Fu ......
期刊: OPERATORS AND MATRICES, 2021; 15 (2)
This paper deals with the closed range property of operator matrices. The necessary and sufficient condition is given for an unbounded upper triangula......
期刊: OPERATORS AND MATRICES, 2021; 15 (2)
For 0 <= alpha < 1, Nikiforov proposed to study the spectral properties of the family of matrices A(alpha) (G) = alpha D( G)+(1-alpha) A(G) of a......
期刊: OPERATORS AND MATRICES, 2021; 15 (2)
We present some inequalities related to the recently defined geometric mean of two accretive matrices. Firstly, we show that if the block matrix ((A)(......
期刊: OPERATORS AND MATRICES, 2021; 15 (2)
The difference AB-BA of two matrices A and B is called the commutator (or Lie product). In this paper, we are concerned with inequalities for the Frob......
期刊: OPERATORS AND MATRICES, 2021; 15 (1)
Suppose X is a compact Hausdorff space. In terms of topological properties of X, we find topological conditions on X that are equivalent to each of th......
期刊: OPERATORS AND MATRICES, 2021; 15 (1)
Let (X, <=) be a locally finite preordered set and R a 2-torsion free commutative ring with unity, I(X, R) the incidence algebra of X over R. In th......
期刊: OPERATORS AND MATRICES, 2021; 15 (1)
In this paper, we characterize the Fredholmness and compactness of commutators of the commuting isometric pair W = (W-0, W-1) by using of their canoni......
期刊: OPERATORS AND MATRICES, 2021; 15 (1)
Drazin inverse and M-P inverse have many important applications in the aspects of theoretic research of operator and statistics. In this article, we w......
期刊: OPERATORS AND MATRICES, 2021; 15 (2)
The Khatri-Rao product is a generalization of the classical Hadamard product for block matrices. In this paper, we give an Oppenheim type determinanta......
期刊: OPERATORS AND MATRICES, 2021; 15 (1)
In this article, we show that two Toeplitz operators on the weighted harmonic Bergman space can commute only in the trivial case under certain conditi......
期刊: OPERATORS AND MATRICES, 2021; 15 (1)
An element a in a Banach algebra A has g-Drazin inverse provided that there exists b subset of A such that b = bab, ab = ba, a-a(2)b. A(qnil). In this......
期刊: OPERATORS AND MATRICES, 2021; 15 (2)
Motivated by the concept of complete pairs, the concept of an almost complete l tuple of matrices is presented. We show that an almost complete l tupl......
期刊: OPERATORS AND MATRICES, 2021; 15 (1)
We study the rank of commutator [A(eta), A(eta)*] of truncated Toeplitz operators A. and A(eta)* with several type of inner symbols eta on the model s......
期刊: OPERATORS AND MATRICES, 2021; 15 (2)
Several new equivalent characterizations for the boundedness of the differences of integral-type operators from alpha-Bloch space to beta-Bloch-Orlicz......