activity
20072025
most citedKSGNS type construction for -completely positive maps on Krein -modules

5 citations · 6 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2025

Stochastic Partial Differential Equations Associated with Pseudo-Differential Operators and Hilbert Space-Valued Gaussian Processes

Un Cig Ji, Jae Hun Kim

In this paper, we prove the unique existence and investigate the -regularity of solutions to stochastic partial differential equations in Hilbert spaces associated with pseu…

math.AP2025

A Generalization of Littlewood-Paley Type Inequality for Evolution Systems Associated with Pseudo Differential Operators

Un Cig Ji, Jae Hun Kim

In this paper, we first prove that the Littlewood-Paley -function, related to the convolution corresponding to the composition of pseudo-differential operator and evolution syst…

math.AP2025★ 1 cited

Littlewood-Paley Type Inequality for Evolution Systems Associated with Pseudo-Differential Operators

Un Cig Ji, Jae Hun Kim

In this paper, we first prove that the kernel of convolution operator, corresponding the composition of pseudo-differential operator and evolution system associated with the symbol…

math.MG2016

Convergences of Alternating Projections in CAT() Spaces

Byoung Jin Choi, Un Cig Ji, Yongdo Lim

We establish the asymptotic regularity and the -convergence of the sequence constructed by the alternating projections to closed convex sets in a CAT() space with . Fur…

math.PR2016

Wick calculus for noncommutative white noise corresponding to -deformed commutation relations

Un Cig Ji, Eugene Lytvynov

We derive the Wick calculus for test and generalized functionals of noncommutative white noise corresponding to -deformed commutation relations with . We construct a…

math.OA2014★ 5 cited

KSGNS type construction for -completely positive maps on Krein -modules

Mohammad Sal Moslehian, Maria Joita, Un Cig Ji

In this paper, we investigate -maps associated to a certain type of -completely positive maps. We then prove a KSGNS (Kasparov--Stinespring--Gel'fand--Naimark--Segal) type th…