Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces via Two Tominaga s Results

In this paper we provide several generalizations for tensorial and Hadamard products of positive linear operators on complex Hilbert spaces of the celebrated scalar inequalities due to Tominaga. They give both multiplicative and additive reverses of Young’s inequality for positive operators in terms of Specht’s ratio and logarithmic mean.

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Publication Details

Journal
Journal of Inequalities and Mathematical Analysis
Published
2025-04-14
DOI
https://doi.org/10.63286/jima.2025.03
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces via Two Tominaga s Results

Sever S Dragomir
Journal of Inequalities and Mathematical Analysis
Mathematical Inequalities and Applications
article

Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces via Two Tominaga s Results

Sever S Dragomir
article en

Abstract

In this paper we provide several generalizations for tensorial and Hadamard products of positive linear operators on complex Hilbert spaces of the celebrated scalar inequalities due to Tominaga. They give both multiplicative and additive reverses of Young’s inequality for positive operators in terms of Specht’s ratio and logarithmic mean.

Journal of Inequalities and Mathematical Analysis
Victoria School of Management (CH)
Openalex Percentile: Top 89%
Mathematical Inequalities and Applications
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Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces via Two Tominaga s Results — Sever S Dragomir · Journal of Inequalities and Mathematical Analysis (2025) | TGRS Research Map | TGRS