On the index of pseudo B-Fredholm operator

2021/12/04 by Aznay, Zakariae, Ouahab, Abdelmalek, Zariouh, Hassan
#FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2112.02407

Abstract

The index of a pseudo B-Fredholm operator will be defined and generalize the usual index of a B-Fredholm operator. This concept will be used to extend some known results in Fredholm's theory. Among other results, the nullity, the deficiency, the ascent and the descent will be extended and defined for a pseudo-Fredholm operator.

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