Spectral radius inequalities for positive commutators
نویسندگان
چکیده
منابع مشابه
Some numerical radius inequalities with positive definite functions
Using several examples of positive definite functions, some inequalities for the numerical radius of matrices are investigated. Also, some open problems are stated.
متن کاملSpectral radius, symmetric and positive matrices
If ρ(A) > 1, then lim n→∞ ‖A‖ =∞. Proof. Recall that A = CJC−1 for a matrix J in Jordan normal form and regular C, and that A = CJnC−1. If ρ(A) = ρ(J) < 1, then J converges to the 0 matrix, and thus A converges to the zero matrix as well. If ρ(A) > 1, then J has a diagonal entry (J)ii = λ n for an eigenvalue λ such that |λ| > 1, and if v is the i-th column of C and v′ the i-th row of C−1, then ...
متن کاملPositive Commutators
In this short and very elementary note, we will discuss the technique of proving estimates for solutions to certain partial differential equations using positive commutators, which is a widely used and powerful technique in particular in microlocal analysis. In order to keep the necessary prerequisites at the bare minimum, we won’t make any use of pseudodifferential operators and related microl...
متن کاملsome numerical radius inequalities with positive definite functions
using several examples of positive definite functions, some inequalities for the numerical radius of matrices are investigated. also, some open problems are stated.
متن کاملSingular value inequalities for positive semidefinite matrices
In this note, we obtain some singular values inequalities for positive semidefinite matrices by using block matrix technique. Our results are similar to some inequalities shown by Bhatia and Kittaneh in [Linear Algebra Appl. 308 (2000) 203-211] and [Linear Algebra Appl. 428 (2008) 2177-2191].
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2014
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-014-0077-x