Perturbations of determinants of nuclear operators in a Hilbert space

Research Article

Perturbations of determinants of nuclear operators in a Hilbert space

Published in: Quaestiones Mathematicae
Volume 44 , issue 6 , 2021 , pages: 803–808
DOI: 10.2989/16073606.2020.1747565
Author(s): Michael Gil’ , Israel

Abstract

Let be a complex separable Hilbert space with the unit operator I and {dk } be an orthonormal basis in . Let A, Ã be linear operators in , satisfying the conditions . It is proved that the determinants satisfy the inequalities

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