Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type
Abstract
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 operators on L2(R) having arbitrarily smooth kernels of Mercer type. The main result is a qualitative sharpening of an earlier result of [7].
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.