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Development of the Berezin Number Inequalities
We present new bounds for the Berezin number inequalities which improve on the existing bounds. We also obtain bounds for the Berezin norm of...
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A convex treatment of numerical radius inequalities
We prove an inner product inequality for Hilbert space operators. This inequality will be utilized to present a general numerical radius inequality...
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New Developments on Operator Reverse AM-GM Inequality for Positive Linear Maps
In this research article, we shall give some reverse Arithmetic-Geometric mean inequalities for unital positive linear maps on Hilbert space...
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Quantitative Uncertainty Principles for the Canonical Fourier—Bessel Transform
The aim of this paper is to establish an extension of quantitative uncertainty principles and an algorithm for signal recovery about the essential...
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Toeplitz Products on Bergman-Sobolev Spaces over the Unit Polydisk
In this paper, we characterize the compactness and Fredholmness of Toeplitz operators and Toeplitz products on Bergman-Sobolev spaces over the unit...
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On a Generalization of a Complementary Triangle Inequality in Hilbert Spaces and Banach Spaces
We study a possible generalization of a complementary triangle inequality in Hilbert spaces and Banach spaces. Our results in the present article...
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The Operator-Valued Parallelism and Norm-Parallelism in Matrices
Let ℌ be a Hilbert space, and let K ( ℌ ) be the C* -algebra of compact operators on ℌ . In this paper, we present some characterizations of the...
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On Berezin Number Inequalities for Operator Matrices
In this article, we refine certain earlier existing bounds for Berezin number of operator matrices. We also prove some new Berezin number...
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Reverses of Young Type Inequalities for Matrices Using the Classical Kantorovich Constant
In this article, we give some reverses of Young type inequalities which were established by Burqan and Khandaqji (J Math Inequal 9:113–120,
2015 )... -
A Distance Formula Related to a Family of Projections Orthogonal to Their Symmetries
Let u be a Hermitian involution, and e an orthogonal projection, acting on the same Hilbert space...
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Matrix Mixed Mean Inequalities
The main goal of this article is to present new matrix inequalities that interpolate between different kinds of well known inequalities for positive...
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On the characterizations of some distinguished subclasses of Hilbert space operators
In this note, we present several characterizations for some distinguished classes of bounded Hilbert space operators (self-adjoint operators, normal...
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Multiple Hardy–Littlewood Integral Operator Norm Inequalities
How to obtain the sharp constant of the Hardy–Littlewood inequality remains unsolved. In this paper, the new analytical technique is to convert the...