Stable and stabilizable means involving linear operator arguments |
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| Authors: | Mustapha Raïssouli |
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| Institution: | 1. Faculty of Science, Department of Mathematics, Taibah University, Al Madinah Al Munawwarah, Kingdom of Saudi Arabia.;2. Faculty of Science, Department of Mathematics, Moulay Ismail University, Meknes, Morocco. |
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| Abstract: | In this paper we extend the stability and stabilizability concepts from the case that the variables are positive real numbers to the case that the variables are positive linear operators. Since the algebra of bounded linear operators is not commutative, such extension does not appear to be obvious. As applications, iterative operator algorithms, converging to some operator means, are discussed. |
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| Keywords: | operator means power operator means cross operator means stable operator means stabilizable operator means |
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