4 citations · 14 across the 12 of their papers we have counts for
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Kantorovich Type Integral Inequalities for Tensor Product of Continuous Fields of Hilbert Space Operators
Pattrawut Chansangiam
This paper presents a number of Kantorovich type integral inequalities involving tensor products of continuous fields of bounded linear operators on a Hilbert space. Kantorovich ty…
Characterizations of Operator Monotonicity via Operator Means and Applications to Operator Inequalities
Pattrawut Chansangiam
We prove that a continuous function is operator monotone increasing if and only if $f(A \: !_t \: B) \leqs f(A) \: !_t \: f(B)$ for any positive opera…
Positivity, Betweenness and Strictness of Operator Means
Pattrawut Chansangiam
An operator mean is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, the transformer inequality and the fixed-point pr…
Cancellability and Regularity of Operator Connections
Pattrawut Chansangiam
An operator connection is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above and the transformer inequality. In this pape…
Operator Monotone Functions: Characterizations and Integral Representations
Pattrawut Chansangiam
Operator monotone functions, introduced by Lowner in 1934, are an important class of real-valued functions. They arise naturally in matrix and operator theory and have various app…
Integral Representations and Decompositions of Operator Monotone Functions on the Nonnegative Reals
Pattrawut Chansangiam
In this paper, we show that there is a one-to-one correspondence between operator monotone functions on the nonnegative reals and finite Borel measures on the unit interval. This c…