Research Article
Maps preserving the pseudo spectrum of generalized product of operators
DOI:
10.2989/16073606.2026.2695814
Author(s):
Hassane BenbouzianeDepartment of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, Morocco, Youssef BouramdaneDepartment of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, Morocco, Kaddour ChadliDepartment of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, Morocco, Mustapha Ech-chérif El KettaniDepartment of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, Morocco,
Abstract
Let be the algebra of all bounded linear operators acting on a complex Hilbert space with dim . For an integer k ≥ 2, let (i
1
, … , im
) be a finite sequence such that {i
1
, … , im
} = {1, … , k} and at least one of the terms in (i
1 , … , im
) appears exactly once. A generalized product of operators A
1
, … , Ak ∈ is defined by
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