Positivity, Betweenness, and Strictness of Operator Means
نویسندگان
چکیده
منابع مشابه
Positivity of Dunkl’s Intertwining Operator
For a finite reflection group on R , the associated Dunkl operators are parametrized firstorder differential-difference operators which generalize the usual partial derivatives. They generate a commutative algebra which is – under weak assumptions – intertwined with the algebra of partial differential operators by a unique linear and homogeneous isomorphism on polynomials. In this paper it is s...
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Let Aj (j = 1, 2, . . . , n) be strict contractions on a Hilbert space. We study an n× n operator-matrix: Hn(A1, A2, . . . , An) = [(I −AjAi)]i,j=1. For the case n = 2, Hua [Inequalities involving determinants, Acta Math. Sinica, 5 (1955), 463–470 (in Chinese)] proved positivity, i.e., positive semidefiniteness of H2(A1, A2). This is, however, not always true for n = 3. First we generalize a kn...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2015
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2015/851568