An incorrect proof has felled a math paper. There’s not too much to say in a straightforward situation like this one, which we’ve seen before — the result of honest errors, not any malfeasance.
Here’s the abstract for “Spectral mapping theorem for generalized Kato spectrum:”
In this paper, we give an affirmative answer to Mbekhta’s conjecture (Mbekhta, 1990) about the pseudo Fredholm operators in Hilbert space. As a consequence, we characterize pseudo Fredholm operators and we prove that the generalized Kato spectrum satisfies the spectral mapping theorem in the Hilbert spaces setting.
The paper — published in the Journal of Mathematical Analysis and Applications — has been cited twice, according to Thomson Scientific’s Web of Knowledge.
Here’s the retraction note:
This version of Hurricane Isaac —
When two papers include the same images of rat hearts, one of those papers gets retracted.



An investigation at the University of Illinois at Chicago has found “a preponderance of evidence” that a psychiatrist who has received millions of dollars in federal funding has committed misconduct.
