Norm Inequalities Related to the Heron and Heinz Means
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DOI: 10.1007/s00009-017-1015-6
Abstract: In this article, we present several inequalities treating operator means and the Cauchy–Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the… read more here.
Keywords: heron heinz; heinz; norm inequalities; heinz means ... See more keywords
Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for $$\tau $$-Measurable operators: Part I
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DOI: 10.1007/s00020-020-02585-6
Abstract: The paper establishes arithmetic-geometric mean and related submajorisation and norm inequalities in the general setting of $$\tau $$ -measurable operators affiliated with a semi-finite von Neumann algebra. read more here.
Keywords: submajorisation norm; related submajorisation; mean related; geometric mean ... See more keywords
Norm inequalities involving accretive-dissipative 2 × 2 block matrices
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DOI: 10.1016/j.laa.2016.04.015
Abstract: Abstract Let T 11 , T 12 , T 21 , and T 22 be n × n complex matrices, and let T = ( T 11 T 12 T 21 T 22 ) be… read more here.
Keywords: dissipative block; involving accretive; inequalities involving; norm ... See more keywords
Modular and norm inequalities for operators on the cone of decreasing functions in Orlicz space
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DOI: 10.1134/s1064562417030061
Abstract: Modular and norm inequalities are considered for positively homogeneous operators on the cone of all nonnegative functions and on the cone Ω of nonnegative decreasing functions from the weighted Orlicz space with a general weight… read more here.
Keywords: norm; norm inequalities; modular norm; orlicz space ... See more keywords
Norm inequalities for positive semidefinite matrices and a question of Bourin
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DOI: 10.1142/s0129167x17501026
Abstract: Let A,B,X ∈ Mn(ℂ) such that A and B are positive semidefinite. It is shown that ∥|AtXB1−t + BtX∗A1−t|∥≤∥|AX|∥ + ∥|XB|∥ for t ∈ [0, 1] and for every unitarily invariant norm. This gives an… read more here.
Keywords: inequalities positive; matrices question; semidefinite matrices; norm inequalities ... See more keywords
Refined Hermite-Hadamard Inequalities and Some Norm Inequalities
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DOI: 10.3390/sym14122522
Abstract: It is well known that the Hermite–Hadamard inequality (called the HH inequality) refines the definition of convexity of function f(x) defined on [a,b] by using the integral of f(x) from a to b. There are… read more here.
Keywords: refined hermite; norm inequalities; hadamard inequalities; inequalities norm ... See more keywords