Results 1 to 10 of about 1,398,064 (308)
Means of unitary operators, revisited [PDF]
MATHEMATICA SCANDINAVICA, 2007 It is proved that an operator with bound not exceeding $(n-2)n^{-1}$ in a $C^*$-algebra is the mean of $n$ unitay operators in that algebra.
Uffe Haagerup +2 more
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Operator means and matrix functions
Linear Algebra and its Applications, 1990 AbstractOperator means are nonlinear matrix functions that arise in the study of interconnection of n-ports (Hilbert ports). We survey some of the relations among operator means, shorted operators, Dini's theorem, and norm convergence. Matrix valued functions are used to present new examples of many diverse convergence behaviors.
William A. Green, T. D. Morley
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Classification of operators by means of their operational calculus [PDF]
Transactions of the American Mathematical Society, 1965 Shmuel Kantorovitz
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Criteria for monotonicity of operator means [PDF]
Journal of the Mathematical Society of Japan, 2003 Let {ψr}r>0 and {ϕr}r>0 be the families of operator monotone functions on [0,∞) satisfying ψr(xrg(x))=xr,ϕr(xrg(x))=xrh(x), where g and h are continuous and g is increasing. Suppose σψa and σ∅r are the corresponding operator connections. We will show that if AσψaB≥1(a>0), then ArσψrB and Arσ∅rB are both increasing for r≥a, and then we will apply this ...
Mitsuru Uchiyama
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Certain integral inequalities involving tensor products, positive linear maps, and operator means [PDF]
Journal of Inequalities and Applications, 2016 We present a number of integral inequalities involving tensor products of continuous fields of bounded linear operators, positive linear maps, and operator means.
Pattrawut Chansangiam
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The Generalized Inequalities via Means and Positive Linear Mappings [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we establish further improvements of the Young inequality and its reverse. Then, we assert operator versions corresponding them. Moreover, an application including positive linear mappings is given.
Leila Nasiri, Mehdi Shams
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Inequalities of Ando's Type for $n$-convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2020 By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class ...
Rozarija Mikic, Josip Pečarić
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The mean transform and the mean limit of an operator [PDF]
Proceedings of the American Mathematical Society, 2018 13 pages, Proc. Amer. Math. Soc. (2018)
M. Mbekhta, F. Chabbabi, E. Curto
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On weighted means and their inequalities
Journal of Inequalities and Applications, 2021 In (Pal et al. in Linear Multilinear Algebra 64(12):2463–2473, 2016), Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions.
Mustapha Raïssouli, Shigeru Furuichi
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