The distance from the holomorphically decomposable Fredholm spectrum

Author:

Tajmouati Abdelaziz,Mohamed Ahmed Mohamed Baba,El Bakkali Abdeslam

Abstract

The class of holomorphically decomposable Fredholm operators was introduced by A. Tajmouati and A. El Bakkali since subclass of Saphar operators. Several authors have been interested in the distance of spectrum associated with the different classes. Especially C. Schmöeger has calculated the distance of Saphar spectrum. For this reason, in this paper, we establish the distance of the holomorphically decomposable Fredholm spectrum.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference10 articles.

1. 1. P. Aiena, Fredholm and Local Spectral Theory with Applications to Multipliers, Kluwer. Acad. Press, 2004.

2. 2. A. El Bakkali and A. Tajmouati, On holomorphically decomposable Fredholm operators, Italian.J. of pure and applied math. 31 (2013), 7-14.

3. 3. A. El Bakkali and A. Tajmouati, On holomorphically decomposable Fredholm spectrum and Commuting Reisz perturbations, Int.J.Math.Anal. 5 (2011), no. 18, 887-900.

4. 4. K.H. Forster and M.A. Kaashoek, The asymptotic behaviour of the reduced minimum modulus of a Fredholm operator, Proc.Amer.Math.Soc. 49 (1975), 123-131.

5. On holomophic relative inverses of operator-valued functions;Ivanov;Pac J Math,1978

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