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Finite rank operators and fredholm operators in hilbert spaces

Author:

Dr. Abhik Singh

Subject Area:

Physical Sciences and Engineering

Abstract:

In this paper we establish that every Fredholm operator F on a Hilbert space has a decomposition F=F+ K , where k is a finite rank operator. It is also shown that the product of two Fredholm operators can again be Fredholm.

PDF file:

39557.pdf

DOI: https://doi.org/10.24941/ijcr.39557.08.2020

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