Research Article

On the preservers of some subsets of the approximate point spectrum

Published in: Quaestiones Mathematicae
Volume 48 , issue 8, pages: 1165–1181

DOI: 10.2989/16073606.2025.2471395

Author(s): H. BenbouzianeFaculty of Sciences DharMahraz Fes, University Sidi Mohammed Ben Abdellah, Morocco, M. Ech-Chérif El KettaniFaculty of Sciences DharMahraz Fes, University Sidi Mohammed Ben Abdellah, Morocco, I. El KhchinFaculty 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

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Research Article

On the preservers of some subsets of the approximate point spectrum

Abstract

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