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

Authors

  • Julio Alcántara Bode Pontifical Catholic University of Peru image/svg+xml

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

Issue

Vol. 23 No. 45-46 (2009)

Section

Artículos

License

Copyright (c) 2016 Pro Mathematica

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

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