Matrix semigroups with constant spectral radius
نویسندگان
چکیده
منابع مشابه
On Submultiplicativity of Spectral Radius and Transitivity of Semigroups
It is shown that a transitive, closed, homogeneous semigroup of linear transformations on a finite-dimensional space either has zero divisors or is simultaneously similar to a group consisting of scalar multiples of unitary transformations. The proof begins with the result that for each closed homogeneous semigroup with no zero divisors there is a k such that the spectral radius satisfies r(AB)...
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Let A = [an] be an n X n matrix with complex entries. We define p(A ) to be the spectral radius of A and | A | to be the matrix [| a,y |]. A. Brauer [1], W. Ledermann [2] and A. Ostrowski [4] have developed bounds for p(\ A |). Their results, coupled with the result of Perron and Frobenius [6] that p(A) ^ p(\ A |) give upper bounds for p( A ) which are not less than p(\ A | ). These bounds are ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2017
ISSN: 0024-3795
DOI: 10.1016/j.laa.2016.10.013