4 citations · 6 across the 5 of their papers we have counts for
5 papers
Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels
Igor M. Novitskii
In this paper, we describe families of those bounded linear operators on a separable Hilbert space that are simultaneously unitarily equivalent to integral operators on wi…
Integral representations of closed operators as bi-Carleman operators with arbitrarily smooth kernels
Igor M. Novitskii
In this paper, we characterize all closed linear operators in a separable Hilbert space which are unitarily equivalent to an integral bi-Carleman operator in with bounded…
Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type
Igor M. Novitskii
In this paper, we characterize the families of those bounded linear operators on a separable Hilbert space which are simultaneously unitarily equivalent to integral bi-Carleman ope…
An extension of Mercer's theorem to unbounded operators
I. M. Novitskii, M. A. Romanov
We give some extensions of Mercer's theorem to continuous Carleman kernels inducing unbounded integral operators.
Integral representations of unbounded operators by arbitrarily smooth Carleman kernels
Igor M. Novitskii
In this paper, we give a characterization of all closed linear operators in a separable Hilbert space which are unitarily equivalent to an integral operator in with bounde…