On the spectral radius of positive operators
نویسندگان
چکیده
منابع مشابه
Bounds on the spectral radius of Hadamard products of positive operators on lp-spaces
Recently, K.M.R. Audenaert (2010), and R.A. Horn and F. Zhang (2010) proved inequalities between the spectral radius of Hadamard products of finite nonnegative matrices and the spectral radius of their ordinary matrix product. We will prove these inequalities in such a way that they extend to infinite nonnegative matrices A and B that define bounded operators on the classical sequence spaces lp.
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Recently, K.M.R. Audenaert (2010), and R.A. Horn and F. Zhang (2010) proved inequalities between the spectral radius of Hadamard products of finite nonnegative matrices and the spectral radius of their ordinary matrix product. We will prove these inequalities in such a way that they extend to infinite nonnegative matrices A and B that define bounded operators on the classical sequence spaces lp.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 1994
ISSN: 0025-5874,1432-1823
DOI: 10.1007/bf02571705