Research Article

On the preservers of some subsets of the approximate point spectrum

Published in: Quaestiones Mathematicae
Volume 48 , issue 8 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1165–1181
DOI: 10.2989/16073606.2025.2471395
Author(s): H. Benbouziane Faculty of Sciences DharMahraz Fes, University Sidi Mohammed Ben Abdellah, Morocco, M. Ech-Chérif El Kettani Faculty of Sciences DharMahraz Fes, University Sidi Mohammed Ben Abdellah, Morocco, I. El Khchin Faculty of Sciences DharMahraz Fes, University Sidi Mohammed Ben Abdellah, Morocco,
Keywords: Primary: Primary: 47B48, Secondary: Secondary: 47A10, Preserver problem, approximate point spectrum, generalized product of operators,
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Abstract

Let be an infinite-dimensional complex Banach space and be the algebra of all bounded linear operators on . For , we consider the following spectral sets in approximate point-spectrum, defined by
« Functionally countable subspaces of nice products
Probabilistic bivariate Bell polynomials »

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