Some refinements of operator inequalities for positive linear maps
نویسندگان
چکیده
منابع مشابه
Some refinements of operator reverse AM-GM mean inequalities
In this paper, we prove the operator inequalities as follows: Let [Formula: see text] be positive operators on a Hilbert space with [Formula: see text] and [Formula: see text]. Then for every positive unital linear map Φ, [Formula: see text] and [Formula: see text] Moreover, we prove Lin's conjecture when [Formula: see text].
متن کاملRefinements of Some Partition Inequalities
In the present paper we initiate the study of a certain kind of partition inequality, by showing, for example, that if M 5 is an integer and the integers a and b are relatively prime to M and satisfy 1 a < b < M/2, and the c(m,n) are defined by 1 (sqa, sqM a; qM )1 1 (sqb, sqM b; qM )1 := X
متن کاملIrreducible Positive Linear Maps on Operator Algebras
Motivated by the classical results of G. Frobenius and O. Perron on the spectral theory of square matrices with nonnegative real entries, D. Evans and R. Høegh-Krohn have studied the spectra of positive linear maps on general (noncommutative) matrix algebras. The notion of irreducibility for positive maps is required for the Frobenius theory of positive maps. In the present article, irreducible...
متن کاملSome Refinements of Inequalities for Circular Functions
Zhengjie Sun and Ling Zhu Department of Mathematics, Zhejiang Gongshang University, Zhejiang, Hangzhou 310018, China Correspondence should be addressed to Ling Zhu, [email protected] Received 22 August 2011; Accepted 4 October 2011 Academic Editor: Morteza Rafei Copyright q 2011 Z. Sun and L. Zhu. This is an open access article distributed under the Creative Commons Attribution License, which...
متن کاملSome weighted operator geometric mean inequalities
In this paper, using the extended Holder- -McCarthy inequality, several inequalities involving the α-weighted geometric mean (0<α<1) of two positive operators are established. In particular, it is proved that if A,B,X,Y∈B(H) such that A and B are two positive invertible operators, then for all r ≥1, ‖X^* (A⋕_α B)Y‖^r≤‖〖(X〗^* AX)^r ‖^((1-α)/2) ‖〖(Y〗^* AY)^r ‖^((1-α)/2) ‖〖(X〗^* BX)^r ‖^(α/2) ‖〖(Y...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2017
ISSN: 1846-579X
DOI: 10.7153/jmi-11-02