On Some Formulas for the Index of a Linear Bounded Operator

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Submitted: 2024-12-20; Published: 2024-12-20

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

We consider a linear bounded operator in infnite dimensional separable Hilbert space satisfying some conditions. We prove formulas that can be used to calculate the index of this operator.