Chansangiam, Pattrawut

Preferred name

Alternative Name

Chansangiam, P.

Main Affiliation

School of Science

pattrawut.ch@kmitl.ac.th

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Convexity and monotonicity of certain maps involving hadamard products and bochner integrals for continuous fields of operators
(2019-10-30)
Chansangiam, Pattrawut
We investigate the convexity and the monotonicity of certain maps involving Hadamard products and Bochner integrals for continuous fields of Hilbert space operators. Their special cases and consequences are then discussed. In particular, we obtain certain arithmetic mean-harmonic mean, Jensen, and Fiedler type inequalities.
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Integral inequalities of chebyshev type for continuous fields of Hermitian operators involving Tracy-Singh products and weighted pythagorean means
(2019-10-01)
Ploymukda, Arnon
;
Chansangiam, Pattrawut
In this paper, we establish several integral inequalities of Chebyshev type for bounded continuous fields of Hermitian operators concerning Tracy-Singh products and weighted Pythagorean means. The weighted Pythagorean means considered here are parametrization versions of three symmetric means: the arithmetic mean, the geometric mean, and the harmonic mean. Every continuous field considered here is parametrized by a locally compact Hausdorff space equipped with a finite Radon measure. Tracy-Singh product versions of the Chebyshev-Grüss inequality via oscillations are also obtained. Such integral inequalities reduce to discrete inequalities when the space is a finite space equipped with the counting measure. Moreover, our results include Chebyshev-type inequalities for tensor product of operators and Tracy-Singh/Kronecker products of matrices.
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Certain integral inequalities involving tensor products, positive linear maps, and operator means
(2016-12-01)
Chansangiam, Pattrawut
We present a number of integral inequalities involving tensor products of continuous fields of bounded linear operators, positive linear maps, and operator means. In particular, the Kantorovich, Grüss, and reverse Hölder-McCarthy integral inequalities are obtained as special cases.
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Integral inequalities of kantorovich and fiedler types for hadamard products of operators
(2016-07-01)
Chansangiam, Pattrawut
The scalar Kantorovich inequality is a reverse weighted arithmetic-harmonic mea inequality. In matrix case, this inequality is also a reverse version of Fiedler's inequality. I this paper, we establish several Kantorovich and Fiedler types integral inequalities involvin Hadamard products of continuous fields of Hilbert space operators. Kantorovich type inequalit in which the product is replaced by an operator mean is also investigated. Such inequalitie include discrete inequalities as special cases. Moreover, we obtain the monotonicity of certai maps involving Hadamard products of operators. As special cases, we get some operator version of Fiedler matrix inequality.
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Kantorovich type integral inequalities for tensor products of continuous fields of positive operators
(2018-01-01)
Chansangiam, Pattrawut
This paper establishes a number of Kantorovich type integral inequalities involving tensor products of continuous fields of positive operators parametrized by a locally compact Hausdorff space. Such integrals appear as Bochner integrals with respect to a finite Radon measure on that space. Kantorovich type inequalities in which the operator product are replaced by an operator mean are also investigated.
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Monotonicity of certain maps and Callebaut-type integral inequalities for continuous fields of operators
(2019-01-01)
Ploymukda, Arnon
;
Chansangiam, Pattrawut
In this paper, we investigate the monotonicity and the convexity of certain maps involving continuous fields of positive invertible operators, the Tracy-Singh product and the Khatri-Rao product. We obtain a number of integral inequalities of Callebaut-type for bounded continuous fields of operators involving certain kinds of operator products and weighted geometric means. Our results extend Callebaut-type inequalities for real numbers, matrices and operators.
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Chebyshev-type integral inequalities for continuous fields of operators concerning Khatri-Rao products and synchronous properties
(2020-03-01)
Ploymukda, Arnon
;
Chansangiam, Pattrawut
We consider bounded continuous fields of self-adjoint operators which are parametrized by a locally compact Hausdorff space Ω equipped with a finite Radon measure μ. Under certain assumptions on synchronous Khatri-Rao property of the fields of operators, we obtain Chebyshev-type inequalities concerning Khatri-Rao products. We also establish Chebyshev-type inequalities involving Khatri-Rao products and weighted Pythagorean means under certain assumptions of synchronous monotone property of the fields of operators. The Pythagorean means considered here are three classical symmetric means: the geometric mean, the arithmetic mean, and the harmonic mean. Moreover, we derive the Chebyshev-Gruss integral inequality via oscillations when μ is a probability Radon measure. These integral inequalities can be reduced to discrete inequalities by setting Ω to be a finite space equipped with the counting measure. Our results provide analog results for matrices and integrable functions. Furthermore, our results include the results for tensor products of operators, and Khatri-Rao/Kronecker/Hadamard products of matrices, which have been not investigated in the literature.

Chansangiam, Pattrawut

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