Fredholmness of Combinations of Two Idempotents

Tao Xie, Kezheng Zuo

Abstract

If P and Q are two idempotents on a Hilbert space, in this paper, we prove that Fredholmness of aP+bQ-cPQ is independent of
the choice of a, b, c with $ab\neq 0$.

Keywords

Idempotent, Fredholmness, Combinations of idempotents

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