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S. S. Dragomir and
M. T. Garayev
Young type integral inequalities for tensorial and Hadamard products of
continuous fields of operators in Hilbert spaces
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| Published: |
May 15, 2025. |
| Keywords: |
Tensorial product, Hadamard Product, selfadjoint operators, convex functions, compact Hausdorff space, Radon measure, Young operator inequality. |
| Subject [2010]: |
47A63; 47A99. |
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Abstract
In this paper we obtained several refinements and reverses of the celebrated Young inequality (the weighted arithmetic mean is greater than or equal to the weighted geometric mean) for continuous fields of positive operators on Hilbert spaces in the setting of the Radon measure, tensor and Hadamard products.
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| Acknowledgements
The second author would like to extend his
appreciation to the Distinguished Scientist Fellowship Program at King Saud
University, Riyadh, Saudi Arabia, for funding this work through Researchers
Supporting Project number RSPD2025R1056.
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| Author information
S. S. Dragomir
Applied Mathematics Research Group
ISILC, Victoria University
Melbourne , VIC, Australia, and
Department of Mathematical and Physical Sciences
La Trobe University
Melbourne, VIC, Australia
sever.dragomir@vu.edu.au
M. T. Garayev
Department of Mathematics
College of Science
King Saud University
P.O.Box 2455, Riyadh 11451, Saudi Arabia
mgarayev@ksu.edu.sa
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