Chansangiam, Pattrawut
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Preferred name
Chansangiam, Pattrawut
Alternative Name
Chansangiam, P.
Main Affiliation
Email
pattrawut.ch@kmitl.ac.th
23 results
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Item type:Publication, Convexity and monotonicity of certain maps involving hadamard products and bochner integrals for continuous fields of operators(2019-10-30)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. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, On the existence of convex functions on Finsler manifolds(2019-01-01) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Integral inequalities of chebyshev type for continuous fields of Hermitian operators involving Tracy-Singh products and weighted pythagorean means(2019-10-01) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Certain integral inequalities involving tensor products, positive linear maps, and operator means(2016-12-01)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. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Characterizations of positive operator-monotone functions and monotone riemannian metrics via borel measures(2019-12-01); Sabau, Sorin V.We show that there is a one-to-one correspondence between positive operator-monotone functions on the positive reals, monotone Riemannian metrics, and finite positive Borel measures on the unit interval. This correspondence appears as an integral representation of weighted harmonic means with respect to that measure on the unit interval. We also investigate the normalized/symmetric conditions for operator-monotone functions. These conditions turn out to characterize monotone metrics and Morozowa-Chentsov functions as well. Concrete integral representations of such functions related to well-known monotone metrics are also provided. Moreover, we use this integral representation to decompose positive operator-monotone functions. Such decomposition gives rise to a decomposition of the associated monotone metric. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Analytic properties of tracy-singh products for operator matrices(2018-01-01); Lewkeeratiyutkul, WicharnWe show that the Tracy-Singh product of Hilbert space operators is continuous with respect to the operator-norm topology. The Tracy-Singh product of two nonzero operators is compact if and only if both factors are compact. We provide upper and lower bounds for certain Schatten p-norms of the Tracy-Singh product of operators. It turns out that this product is continuous with respect to the topologies on norm ideals of compact operators, trace class operators, and Hilbert-Schmidt class operators. Thus the Tracy-Singh product preserves such classes of operators. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Khatri-Rao products and selection operators(2019-08-01) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Integral inequalities of kantorovich and fiedler types for hadamard products of operators(2016-07-01)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. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Kantorovich type integral inequalities for tensor products of continuous fields of positive operators(2018-01-01)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. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Weighted means and weighted mean equations in lineated symmetric spaces(2018-01-01)We develop further theory of weighted means in a lineated symmetric space. First, we illustrate fundamental examples of that space involving some classical additive/multiplicative groups of matrices and C<sup>∗</sup>-algebra elements. Then we investigate properties of weighted means in which weights are arbitrary real numbers. Moreover, we investigate several (systems of) weighted mean equations in lineated symmetric spaces. In fact, every mean problem considered here is shown to has a unique solution in an explicit form.