An example of two non-unitarily equivalent compact operators with the same traces and kernel

Julio Alcántara Bode

An example of two non-unitarily equivalent compact operators with the same traces and kernel

Authors

Julio Alcántara Bode Pontificia Universidad Católica del Perú

Keywords:

fredholm determinants, traces, unitary equivalence

Abstract

We give examples of two non nuclear non normal Hilbert-Schmidt operators that are not unitarily equivalent but have the same traces and kernel.

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Published

2009-09-07

How to Cite

Alcántara Bode, J. (2009). An example of two non-unitarily equivalent compact operators with the same traces and kernel. Pro Mathematica, 23(45-46), 105–111. Retrieved from https://revistas.pucp.edu.pe/index.php/promathematica/article/view/10266