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Inertial extragradient algorithms with non-monotonic step sizes for solving variational inequalities and fixed point problems

期刊: ADVANCES IN OPERATOR THEORY, 2021; 6 (4)

In this paper, we introduce four inertial extragradient algorithms with non-monotonic step sizes to find the solution of the convex feasibility proble......

Singular value and unitarily invariant norm inequalities for sums and products of operators

期刊: ADVANCES IN OPERATOR THEORY, 2021; 6 (4)

In this note, we mainly investigate singular value and unitarily invariant norm inequalities for sums and products of operators. First, we present sin......

Weighted variable Hardy spaces on domains

期刊: ADVANCES IN OPERATOR THEORY, 2021; 6 (3)

In this paper, we introduce and study the weighted variable Hardy space on domains. We prove the atomic decompositions of this space, and as applicati......

The Kachurovskij spectrum of Lipschitz continuous nonlinear block operator matrices

期刊: ADVANCES IN OPERATOR THEORY, 2021; 6 (3)

In this paper, the Kachurovskij spectrum of 2 x 2 Lipschitz continuous nonlinear operator matrices are studied. Firstly, some connections between the ......

A new Hardy-Mulholland-type inequality with a mixed kernel

期刊: ADVANCES IN OPERATOR THEORY, 2021; 6 (2)

By the use of weight coefficients and techniques of real analysis, we establish a new Hardy-Mulholland-type inequality with a mixed kernel and a best ......

Some upper bounds for the A-numerical radius of 2x2 block matrices

期刊: ADVANCES IN OPERATOR THEORY, 2021; 6 (1)

Let A = [GRAPHICS] be the 2 X 2 diagonal operator matrix determined by a positive bounded linear operator A on a Hilbert space. For semi-Hilbertian op......

On submajorization inequalities for matrices of measurable operators

期刊: ADVANCES IN OPERATOR THEORY, 2021; 6 (1)

Let M be a semifinite von Neumann algebra. We proved that if [GRAPHICS] and [GRAPHICS] are positive matrices with entries in M, then z is logarithmica......

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