Abstract
Viene estesa al contesto delle algebreC* la teoria di base degli inversi generalizzati. In particolare il risultato di Penrose in relazione alla riduzione di ‖AX - C‖2 alla normaC*; e vengono date condizioni modificate in modo tale che risulti almeno un inverso Moore-Penrose di un dato elemento.
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References
Engl H., Nashed M. Z.,New extremal characterizations of generalized inverses of linear operators, J. Math. Anal. Appl.,82 (1981), 566–586.
Filmore P.,A User’s Guide to Operator Algebras, John Wiley and Sons, New York, 1996.
Maher P. J.,Some operator inequalities concerning generalized inverses, Illinois J. Math.,34 (1990), 503–514.
Maher P. J.,Some norm inequalities concerning generalized inverses, Lin. Alg. App.,174 (1992), 99–110.
Maher P. J.,Some norm inequalities concerning generalized inverses, 2, Submitted.
Penrose R.,A generalized inverse for matrices, Proc. Cambridge Phil. Soc.,51 (1955), 406–413.
Penrose R.,On best approximate solutions of linear matrix equations, Proc. Cambridge Phil. Soc.,52 (1956), 17–19.
Ringrose J. R.,Compact Non-self-adjoint Operators, Van Nostrand, London, 1971.
A. E. Taylor, Lay D.C.,Introduction to Functional Analysis, 2nd edition, Wiley, New York, 1980.
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Maher, P.J. Generalized inverses inC*-Algebras. Rend. Circ. Mat. Palermo 55, 441–448 (2006). https://doi.org/10.1007/BF02874781
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DOI: https://doi.org/10.1007/BF02874781