On diagonals of operators: selfadjoint, normal and other classes
Jireh Loreaux, Gary Weiss
TL;DR
This paper surveys the current understanding of operator diagonals, especially for selfadjoint operators, and introduces new results enabled by recent research, expanding on previous lecture material.
Contribution
It offers a comprehensive survey of diagonals of operators and presents new findings influenced by recent advances in the field.
Findings
New results on operator diagonals from recent work
Expanded understanding of selfadjoint operator diagonals
Integration of recent theoretical developments
Abstract
We provide a survey of the current state of the study of diagonals of operators, especially selfadjoint operators. In addition, we provide a few new results made possible by recent work of M\"uller-Tomilov and Kaftal-Loreaux. This is an expansion of the second author's lecture part II at OT27.
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Taxonomy
TopicsHolomorphic and Operator Theory · Matrix Theory and Algorithms · Spectral Theory in Mathematical Physics