Abdelaziz Tajmouati, Mohamed Amouch, Mohamed Karmouni
Abstract
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In this paper, we show that every pseudo B-Fredholm operator is a pseudo Fredholm operator. Afterwards, we prove that the pseudo B-Weyl spectrum is empty if and only if the pseudo B-Fredholm spectrum is empty. Also, we study a symmetric difference between some parts of the spectrum.
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In this paper, we show that every pseudo B-Fredholm operator is a pseudo Fredholm operator. Afterwards, we prove that the pseudo B-Weyl spectrum is empty if and only if the pseudo B-Fredholm spectrum is empty. Also, we study a symmetric difference between some parts of the spectrum.
Key concepts: Fredholm theory, Spectrum (functional analysis), Fredholm integral equation, Mathematics, Fredholm determinant, Operator (biology), Pure mathematics, Spectral theory